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

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


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

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

Reorder the terms:
20 + 5x + -3(-4 + x) = 40
20 + 5x + (-4 * -3 + x * -3) = 40
20 + 5x + (12 + -3x) = 40

Reorder the terms:
20 + 12 + 5x + -3x = 40

Combine like terms: 20 + 12 = 32
32 + 5x + -3x = 40

Combine like terms: 5x + -3x = 2x
32 + 2x = 40

Solving
32 + 2x = 40

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 2x = 40 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = 40 + -32
2x = 40 + -32

Combine like terms: 40 + -32 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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