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

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


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

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

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

Solving
4 + 4x = -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.
4 + 4x + -2x = -16 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
4 + 2x = -16 + 0
4 + 2x = -16

Add '-4' to each side of the equation.
4 + -4 + 2x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = -16 + -4
2x = -16 + -4

Combine like terms: -16 + -4 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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