4 - x = 1 + 4x
To solve for x, first isolate x on one side of the equation:
Add x to both sides:4 - x + x = 1 + 4x + x4 = 1 + 5x
Subtract 1 from both sides:4 - 1 = 1 + 5x - 13 = 5x
Divide both sides by 5 to solve for x:3/5 = x
Therefore, x = 3/5
7 - 2(x + 3) = 9 - 6x
Expand the terms inside the parentheses first:
7 - 2x - 6 = 9 - 6x
Combine like terms:
7 - 2x - 6 = 9 - 6x1 - 2x = 9 - 6x
Add 2x to both sides:
1 - 2x + 2x = 9 - 6x + 2x1 = 9 - 4x
Subtract 9 from both sides:
1 - 9 = 9 - 4x - 9-8 = -4x
Divide by -4 to solve for x:
-8 / -4 = -4x / -4x = 2
Therefore, x = 2
3.4(x - 0.5) - 2(x + 3) = 9 - 6x
Distribute the values inside the parentheses:
4x - 2 - 2x - 6 = 9 - 6x
2x - 8 = 9 - 6x
Add 6x to both sides:
2x - 8 + 6x = 9 - 6x + 6x8x - 8 = 9
Add 8 to both sides:
8x - 8 + 8 = 9 + 88x = 17
Divide by 8 to solve for x:
8x / 8 = 17 / 8x = 17/8
Therefore, x = 17/8
4 - x = 1 + 4x
To solve for x, first isolate x on one side of the equation:
Add x to both sides:
4 - x + x = 1 + 4x + x
4 = 1 + 5x
Subtract 1 from both sides:
4 - 1 = 1 + 5x - 1
3 = 5x
Divide both sides by 5 to solve for x:
3/5 = x
Therefore, x = 3/5
7 - 2(x + 3) = 9 - 6x
Expand the terms inside the parentheses first:
7 - 2x - 6 = 9 - 6x
Combine like terms:
7 - 2x - 6 = 9 - 6x
1 - 2x = 9 - 6x
Add 2x to both sides:
1 - 2x + 2x = 9 - 6x + 2x
1 = 9 - 4x
Subtract 9 from both sides:
1 - 9 = 9 - 4x - 9
-8 = -4x
Divide by -4 to solve for x:
-8 / -4 = -4x / -4
x = 2
Therefore, x = 2
3.
4(x - 0.5) - 2(x + 3) = 9 - 6x
Distribute the values inside the parentheses:
4x - 2 - 2x - 6 = 9 - 6x
Combine like terms:
2x - 8 = 9 - 6x
Add 6x to both sides:
2x - 8 + 6x = 9 - 6x + 6x
8x - 8 = 9
Add 8 to both sides:
8x - 8 + 8 = 9 + 8
8x = 17
Divide by 8 to solve for x:
8x / 8 = 17 / 8
x = 17/8
Therefore, x = 17/8