5(x+6)+3(-x+4)=-8

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Solution for 5(x+6)+3(-x+4)=-8 equation: 


Simplifying
5(x + 6) + 3(-1x + 4) = -8

Reorder the terms:
5(6 + x) + 3(-1x + 4) = -8
(6 * 5 + x * 5) + 3(-1x + 4) = -8
(30 + 5x) + 3(-1x + 4) = -8

Reorder the terms:
30 + 5x + 3(4 + -1x) = -8
30 + 5x + (4 * 3 + -1x * 3) = -8
30 + 5x + (12 + -3x) = -8

Reorder the terms:
30 + 12 + 5x + -3x = -8

Combine like terms: 30 + 12 = 42
42 + 5x + -3x = -8

Combine like terms: 5x + -3x = 2x
42 + 2x = -8

Solving
42 + 2x = -8

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 2x = -8 + -42

Combine like terms: 42 + -42 = 0
0 + 2x = -8 + -42
2x = -8 + -42

Combine like terms: -8 + -42 = -50
2x = -50

Divide each side by '2'.
x = -25

Simplifying
x = -25

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