5(x+10)+3(-x+8)=-10

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Solution for 5(x+10)+3(-x+8)=-10 equation: 


Simplifying
5(x + 10) + 3(-1x + 8) = -10

Reorder the terms:
5(10 + x) + 3(-1x + 8) = -10
(10 * 5 + x * 5) + 3(-1x + 8) = -10
(50 + 5x) + 3(-1x + 8) = -10

Reorder the terms:
50 + 5x + 3(8 + -1x) = -10
50 + 5x + (8 * 3 + -1x * 3) = -10
50 + 5x + (24 + -3x) = -10

Reorder the terms:
50 + 24 + 5x + -3x = -10

Combine like terms: 50 + 24 = 74
74 + 5x + -3x = -10

Combine like terms: 5x + -3x = 2x
74 + 2x = -10

Solving
74 + 2x = -10

Solving for variable 'x'.

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

Add '-74' to each side of the equation.
74 + -74 + 2x = -10 + -74

Combine like terms: 74 + -74 = 0
0 + 2x = -10 + -74
2x = -10 + -74

Combine like terms: -10 + -74 = -84
2x = -84

Divide each side by '2'.
x = -42

Simplifying
x = -42

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