4(x+7)-28=-2(x-4)+40

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Solution for 4(x+7)-28=-2(x-4)+40 equation:


Simplifying
4(x + 7) + -28 = -2(x + -4) + 40

Reorder the terms:
4(7 + x) + -28 = -2(x + -4) + 40
(7 * 4 + x * 4) + -28 = -2(x + -4) + 40
(28 + 4x) + -28 = -2(x + -4) + 40

Reorder the terms:
28 + -28 + 4x = -2(x + -4) + 40

Combine like terms: 28 + -28 = 0
0 + 4x = -2(x + -4) + 40
4x = -2(x + -4) + 40

Reorder the terms:
4x = -2(-4 + x) + 40
4x = (-4 * -2 + x * -2) + 40
4x = (8 + -2x) + 40

Reorder the terms:
4x = 8 + 40 + -2x

Combine like terms: 8 + 40 = 48
4x = 48 + -2x

Solving
4x = 48 + -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.
4x + 2x = 48 + -2x + 2x

Combine like terms: 4x + 2x = 6x
6x = 48 + -2x + 2x

Combine like terms: -2x + 2x = 0
6x = 48 + 0
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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