2x+4(x-8)=-2x-15+7x

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Solution for 2x+4(x-8)=-2x-15+7x equation:


Simplifying
2x + 4(x + -8) = -2x + -15 + 7x

Reorder the terms:
2x + 4(-8 + x) = -2x + -15 + 7x
2x + (-8 * 4 + x * 4) = -2x + -15 + 7x
2x + (-32 + 4x) = -2x + -15 + 7x

Reorder the terms:
-32 + 2x + 4x = -2x + -15 + 7x

Combine like terms: 2x + 4x = 6x
-32 + 6x = -2x + -15 + 7x

Reorder the terms:
-32 + 6x = -15 + -2x + 7x

Combine like terms: -2x + 7x = 5x
-32 + 6x = -15 + 5x

Solving
-32 + 6x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-32 + 6x + -5x = -15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-32 + 1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + 1x = -15 + 0
-32 + 1x = -15

Add '32' to each side of the equation.
-32 + 32 + 1x = -15 + 32

Combine like terms: -32 + 32 = 0
0 + 1x = -15 + 32
1x = -15 + 32

Combine like terms: -15 + 32 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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