4(x+1)=-2(x-26)

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Solution for 4(x+1)=-2(x-26) equation:


Simplifying
4(x + 1) = -2(x + -26)

Reorder the terms:
4(1 + x) = -2(x + -26)
(1 * 4 + x * 4) = -2(x + -26)
(4 + 4x) = -2(x + -26)

Reorder the terms:
4 + 4x = -2(-26 + x)
4 + 4x = (-26 * -2 + x * -2)
4 + 4x = (52 + -2x)

Solving
4 + 4x = 52 + -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 = 52 + -2x + 2x

Combine like terms: 4x + 2x = 6x
4 + 6x = 52 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 6x = 52 + 0
4 + 6x = 52

Add '-4' to each side of the equation.
4 + -4 + 6x = 52 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = 52 + -4
6x = 52 + -4

Combine like terms: 52 + -4 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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