To solve these equations, we can follow these steps:
Isolate the variable on one side of the equation by adding or subtracting terms to both sides.Combine like terms to simplify the equation.Solve for the variable by either dividing or multiplying to get the variable by itself.
Let's solve each equation one at a time:
15x + 10 = 6x - 8
Subtract 6x from both sides: 9x + 10 = -8
Subtract 10 from both sides: 9x = -18
Divide by 9: x = -2
10x - 11 = 4x - 7
Subtract 4x from both sides: 6x - 11 = -7
Add 11 to both sides: 6x = 4
Divide by 6: x = 4/6 x = 2/3
11x + 15 = 7x - 25
Subtract 7x from both sides: 4x + 15 = -25
Subtract 15 from both sides: 4x = -40
Divide by 4: x = -10
-2(x - 4) = 3 - 7x
Distribute -2: -2x + 8 = 3 - 7x
Add 7x to both sides: 5x + 8 = 3
Subtract 8 from both sides: 5x = -5
Divide by 5: x = -1
14x - 25 = 20x + 9
Subtract 14x from both sides: -25 = 6x + 9
Subtract 9 from both sides: -34 = 6x
Divide by 6: x = -34/6 x = -17/3
2(x - 4) + 4 = 2(3 + x)
Distribute 2: 2x - 8 + 4 = 6 + 2x
Combine like terms: 2x - 4 = 6 + 2x
Subtract 2x from both sides: -4 = 6
This equation has no solution as -4 does not equal 6.
To solve these equations, we can follow these steps:
Isolate the variable on one side of the equation by adding or subtracting terms to both sides.Combine like terms to simplify the equation.Solve for the variable by either dividing or multiplying to get the variable by itself.Let's solve each equation one at a time:
15x + 10 = 6x - 8Subtract 6x from both sides:
9x + 10 = -8
Subtract 10 from both sides:
9x = -18
Divide by 9:
10x - 11 = 4x - 7x = -2
Subtract 4x from both sides:
6x - 11 = -7
Add 11 to both sides:
6x = 4
Divide by 6:
11x + 15 = 7x - 25x = 4/6
x = 2/3
Subtract 7x from both sides:
4x + 15 = -25
Subtract 15 from both sides:
4x = -40
Divide by 4:
-2(x - 4) = 3 - 7xx = -10
Distribute -2:
-2x + 8 = 3 - 7x
Add 7x to both sides:
5x + 8 = 3
Subtract 8 from both sides:
5x = -5
Divide by 5:
14x - 25 = 20x + 9x = -1
Subtract 14x from both sides:
-25 = 6x + 9
Subtract 9 from both sides:
-34 = 6x
Divide by 6:
2(x - 4) + 4 = 2(3 + x)x = -34/6
x = -17/3
Distribute 2:
2x - 8 + 4 = 6 + 2x
Combine like terms:
2x - 4 = 6 + 2x
Subtract 2x from both sides:
-4 = 6
This equation has no solution as -4 does not equal 6.
8(x - 2) + 2 = 5(7 + x)Distribute 8 and 5:
8x - 16 + 2 = 35 + 5x
Combine like terms:
8x - 14 = 35 + 5x
Subtract 5x from both sides:
3x - 14 = 35
Add 14 to both sides:
3x = 49
Divide by 3:
x = 49/3
x = 16.33
These are the solutions for the given equations.