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

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


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

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

Reorder the terms:
40 = 10 + 2x + 2(-3 + x)
40 = 10 + 2x + (-3 * 2 + x * 2)
40 = 10 + 2x + (-6 + 2x)

Reorder the terms:
40 = 10 + -6 + 2x + 2x

Combine like terms: 10 + -6 = 4
40 = 4 + 2x + 2x

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

Solving
40 = 4 + 4x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: 4 + -40 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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