4-7(x-1)=2(x-8)

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Solution for 4-7(x-1)=2(x-8) equation: 


Simplifying
4 + -7(x + -1) = 2(x + -8)

Reorder the terms:
4 + -7(-1 + x) = 2(x + -8)
4 + (-1 * -7 + x * -7) = 2(x + -8)
4 + (7 + -7x) = 2(x + -8)

Combine like terms: 4 + 7 = 11
11 + -7x = 2(x + -8)

Reorder the terms:
11 + -7x = 2(-8 + x)
11 + -7x = (-8 * 2 + x * 2)
11 + -7x = (-16 + 2x)

Solving
11 + -7x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + -7x + -2x = -16 + 2x + -2x

Combine like terms: -7x + -2x = -9x
11 + -9x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -9x = -16 + 0
11 + -9x = -16

Add '-11' to each side of the equation.
11 + -11 + -9x = -16 + -11

Combine like terms: 11 + -11 = 0
0 + -9x = -16 + -11
-9x = -16 + -11

Combine like terms: -16 + -11 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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