4(x-1)=-(x-8)

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Solution for 4(x-1)=-(x-8) equation:


Simplifying
4(x + -1) = -1(x + -8)

Reorder the terms:
4(-1 + x) = -1(x + -8)
(-1 * 4 + x * 4) = -1(x + -8)
(-4 + 4x) = -1(x + -8)

Reorder the terms:
-4 + 4x = -1(-8 + x)
-4 + 4x = (-8 * -1 + x * -1)
-4 + 4x = (8 + -1x)

Solving
-4 + 4x = 8 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-4 + 4x + x = 8 + -1x + x

Combine like terms: 4x + x = 5x
-4 + 5x = 8 + -1x + x

Combine like terms: -1x + x = 0
-4 + 5x = 8 + 0
-4 + 5x = 8

Add '4' to each side of the equation.
-4 + 4 + 5x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 8 + 4
5x = 8 + 4

Combine like terms: 8 + 4 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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