2(x+4)+8=5x-5

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Solution for 2(x+4)+8=5x-5 equation:


Simplifying
2(x + 4) + 8 = 5x + -5

Reorder the terms:
2(4 + x) + 8 = 5x + -5
(4 * 2 + x * 2) + 8 = 5x + -5
(8 + 2x) + 8 = 5x + -5

Reorder the terms:
8 + 8 + 2x = 5x + -5

Combine like terms: 8 + 8 = 16
16 + 2x = 5x + -5

Reorder the terms:
16 + 2x = -5 + 5x

Solving
16 + 2x = -5 + 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.
16 + 2x + -5x = -5 + 5x + -5x

Combine like terms: 2x + -5x = -3x
16 + -3x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -3x = -5 + 0
16 + -3x = -5

Add '-16' to each side of the equation.
16 + -16 + -3x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = -5 + -16
-3x = -5 + -16

Combine like terms: -5 + -16 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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