Let's solve each equation step by step:
1) 4x - 7 = 2x + 15
Subtract 2x from both sides to isolate x:
2x - 7 = 15
Add 7 to both sides:
2x = 22
Divide by 2:
x = 11
2) 7x + 12 = 10x - 3
Subtract 7x from both sides to isolate x:
12 = 3x - 3
Add 3 to both sides:
15 = 3x
Divide by 3:
x = 5
3) 11 - x = 55 + x
Add x to both sides:
11 = 55 + 2x
Subtract 55 from both sides:
-44 = 2x
x = -22
4) -35 - 2x = 42 + 9x
Add 2x to both sides:
-35 = 42 + 11x
Subtract 42 from both sides:
-77 = 11x
Divide by 11:
x = -7
Therefore, the solutions to the equations are1) x = 12) x = 3) x = -24) x = -7
Let's solve each equation step by step:
1) 4x - 7 = 2x + 15
Subtract 2x from both sides to isolate x:
2x - 7 = 15
Add 7 to both sides:
2x = 22
Divide by 2:
x = 11
2) 7x + 12 = 10x - 3
Subtract 7x from both sides to isolate x:
12 = 3x - 3
Add 3 to both sides:
15 = 3x
Divide by 3:
x = 5
3) 11 - x = 55 + x
Add x to both sides:
11 = 55 + 2x
Subtract 55 from both sides:
-44 = 2x
Divide by 2:
x = -22
4) -35 - 2x = 42 + 9x
Add 2x to both sides:
-35 = 42 + 11x
Subtract 42 from both sides:
-77 = 11x
Divide by 11:
x = -7
Therefore, the solutions to the equations are
1) x = 1
2) x =
3) x = -2
4) x = -7