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

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


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

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

Reorder the terms:
30 + 5x + 3(8 + -1x) = 8
30 + 5x + (8 * 3 + -1x * 3) = 8
30 + 5x + (24 + -3x) = 8

Reorder the terms:
30 + 24 + 5x + -3x = 8

Combine like terms: 30 + 24 = 54
54 + 5x + -3x = 8

Combine like terms: 5x + -3x = 2x
54 + 2x = 8

Solving
54 + 2x = 8

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + 2x = 8 + -54

Combine like terms: 54 + -54 = 0
0 + 2x = 8 + -54
2x = 8 + -54

Combine like terms: 8 + -54 = -46
2x = -46

Divide each side by '2'.
x = -23

Simplifying
x = -23

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