5(x+3)+2(x-1)=-8

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Solution for 5(x+3)+2(x-1)=-8 equation: 


Simplifying
5(x + 3) + 2(x + -1) = -8

Reorder the terms:
5(3 + x) + 2(x + -1) = -8
(3 * 5 + x * 5) + 2(x + -1) = -8
(15 + 5x) + 2(x + -1) = -8

Reorder the terms:
15 + 5x + 2(-1 + x) = -8
15 + 5x + (-1 * 2 + x * 2) = -8
15 + 5x + (-2 + 2x) = -8

Reorder the terms:
15 + -2 + 5x + 2x = -8

Combine like terms: 15 + -2 = 13
13 + 5x + 2x = -8

Combine like terms: 5x + 2x = 7x
13 + 7x = -8

Solving
13 + 7x = -8

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 7x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = -8 + -13
7x = -8 + -13

Combine like terms: -8 + -13 = -21
7x = -21

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

Simplifying
x = -3

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