5(x+2)+3(-x+10)=-4

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Solution for 5(x+2)+3(-x+10)=-4 equation: 


Simplifying
5(x + 2) + 3(-1x + 10) = -4

Reorder the terms:
5(2 + x) + 3(-1x + 10) = -4
(2 * 5 + x * 5) + 3(-1x + 10) = -4
(10 + 5x) + 3(-1x + 10) = -4

Reorder the terms:
10 + 5x + 3(10 + -1x) = -4
10 + 5x + (10 * 3 + -1x * 3) = -4
10 + 5x + (30 + -3x) = -4

Reorder the terms:
10 + 30 + 5x + -3x = -4

Combine like terms: 10 + 30 = 40
40 + 5x + -3x = -4

Combine like terms: 5x + -3x = 2x
40 + 2x = -4

Solving
40 + 2x = -4

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 2x = -4 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = -4 + -40
2x = -4 + -40

Combine like terms: -4 + -40 = -44
2x = -44

Divide each side by '2'.
x = -22

Simplifying
x = -22

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