-3(x+6)+5(x+2)=40

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Solution for -3(x+6)+5(x+2)=40 equation: 


Simplifying
-3(x + 6) + 5(x + 2) = 40

Reorder the terms:
-3(6 + x) + 5(x + 2) = 40
(6 * -3 + x * -3) + 5(x + 2) = 40
(-18 + -3x) + 5(x + 2) = 40

Reorder the terms:
-18 + -3x + 5(2 + x) = 40
-18 + -3x + (2 * 5 + x * 5) = 40
-18 + -3x + (10 + 5x) = 40

Reorder the terms:
-18 + 10 + -3x + 5x = 40

Combine like terms: -18 + 10 = -8
-8 + -3x + 5x = 40

Combine like terms: -3x + 5x = 2x
-8 + 2x = 40

Solving
-8 + 2x = 40

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 40 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 40 + 8
2x = 40 + 8

Combine like terms: 40 + 8 = 48
2x = 48

Divide each side by '2'.
x = 24

Simplifying
x = 24

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