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

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


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

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

Reorder the terms:
40 + 5x + 3(2 + -1x) = 8
40 + 5x + (2 * 3 + -1x * 3) = 8
40 + 5x + (6 + -3x) = 8

Reorder the terms:
40 + 6 + 5x + -3x = 8

Combine like terms: 40 + 6 = 46
46 + 5x + -3x = 8

Combine like terms: 5x + -3x = 2x
46 + 2x = 8

Solving
46 + 2x = 8

Solving for variable 'x'.

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

Add '-46' to each side of the equation.
46 + -46 + 2x = 8 + -46

Combine like terms: 46 + -46 = 0
0 + 2x = 8 + -46
2x = 8 + -46

Combine like terms: 8 + -46 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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