5(x+4)-8=3(x-2)+8

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Solution for 5(x+4)-8=3(x-2)+8 equation: 


Simplifying
5(x + 4) + -8 = 3(x + -2) + 8

Reorder the terms:
5(4 + x) + -8 = 3(x + -2) + 8
(4 * 5 + x * 5) + -8 = 3(x + -2) + 8
(20 + 5x) + -8 = 3(x + -2) + 8

Reorder the terms:
20 + -8 + 5x = 3(x + -2) + 8

Combine like terms: 20 + -8 = 12
12 + 5x = 3(x + -2) + 8

Reorder the terms:
12 + 5x = 3(-2 + x) + 8
12 + 5x = (-2 * 3 + x * 3) + 8
12 + 5x = (-6 + 3x) + 8

Reorder the terms:
12 + 5x = -6 + 8 + 3x

Combine like terms: -6 + 8 = 2
12 + 5x = 2 + 3x

Solving
12 + 5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 5x + -3x = 2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
12 + 2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 2x = 2 + 0
12 + 2x = 2

Add '-12' to each side of the equation.
12 + -12 + 2x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 2 + -12
2x = 2 + -12

Combine like terms: 2 + -12 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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