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

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


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

Reorder the terms:
5(2 + x) + -3(x + -2) = 8
(2 * 5 + x * 5) + -3(x + -2) = 8
(10 + 5x) + -3(x + -2) = 8

Reorder the terms:
10 + 5x + -3(-2 + x) = 8
10 + 5x + (-2 * -3 + x * -3) = 8
10 + 5x + (6 + -3x) = 8

Reorder the terms:
10 + 6 + 5x + -3x = 8

Combine like terms: 10 + 6 = 16
16 + 5x + -3x = 8

Combine like terms: 5x + -3x = 2x
16 + 2x = 8

Solving
16 + 2x = 8

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 2x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 8 + -16
2x = 8 + -16

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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