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

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


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

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

Reorder the terms:
-4 + 4x = 1 + -2(-8 + x)
-4 + 4x = 1 + (-8 * -2 + x * -2)
-4 + 4x = 1 + (16 + -2x)

Combine like terms: 1 + 16 = 17
-4 + 4x = 17 + -2x

Solving
-4 + 4x = 17 + -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.
-4 + 4x + 2x = 17 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-4 + 6x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 6x = 17 + 0
-4 + 6x = 17

Add '4' to each side of the equation.
-4 + 4 + 6x = 17 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 17 + 4
6x = 17 + 4

Combine like terms: 17 + 4 = 21
6x = 21

Divide each side by '6'.
x = 3.5

Simplifying
x = 3.5

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