4(x+5)-2(x-3)=-40

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Solution for 4(x+5)-2(x-3)=-40 equation: 


Simplifying
4(x + 5) + -2(x + -3) = -40

Reorder the terms:
4(5 + x) + -2(x + -3) = -40
(5 * 4 + x * 4) + -2(x + -3) = -40
(20 + 4x) + -2(x + -3) = -40

Reorder the terms:
20 + 4x + -2(-3 + x) = -40
20 + 4x + (-3 * -2 + x * -2) = -40
20 + 4x + (6 + -2x) = -40

Reorder the terms:
20 + 6 + 4x + -2x = -40

Combine like terms: 20 + 6 = 26
26 + 4x + -2x = -40

Combine like terms: 4x + -2x = 2x
26 + 2x = -40

Solving
26 + 2x = -40

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 2x = -40 + -26

Combine like terms: 26 + -26 = 0
0 + 2x = -40 + -26
2x = -40 + -26

Combine like terms: -40 + -26 = -66
2x = -66

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

Simplifying
x = -33

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