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

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


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

Reorder the terms:
5(8 + x) + 3(-1x + 8) = -2
(8 * 5 + x * 5) + 3(-1x + 8) = -2
(40 + 5x) + 3(-1x + 8) = -2

Reorder the terms:
40 + 5x + 3(8 + -1x) = -2
40 + 5x + (8 * 3 + -1x * 3) = -2
40 + 5x + (24 + -3x) = -2

Reorder the terms:
40 + 24 + 5x + -3x = -2

Combine like terms: 40 + 24 = 64
64 + 5x + -3x = -2

Combine like terms: 5x + -3x = 2x
64 + 2x = -2

Solving
64 + 2x = -2

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + -64 + 2x = -2 + -64

Combine like terms: 64 + -64 = 0
0 + 2x = -2 + -64
2x = -2 + -64

Combine like terms: -2 + -64 = -66
2x = -66

Divide each side by '2'.
x = -33

Simplifying
x = -33

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