5(x-18)-2(x+12)=(x-20)+2

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Solution for 5(x-18)-2(x+12)=(x-20)+2 equation:


Simplifying
5(x + -18) + -2(x + 12) = (x + -20) + 2

Reorder the terms:
5(-18 + x) + -2(x + 12) = (x + -20) + 2
(-18 * 5 + x * 5) + -2(x + 12) = (x + -20) + 2
(-90 + 5x) + -2(x + 12) = (x + -20) + 2

Reorder the terms:
-90 + 5x + -2(12 + x) = (x + -20) + 2
-90 + 5x + (12 * -2 + x * -2) = (x + -20) + 2
-90 + 5x + (-24 + -2x) = (x + -20) + 2

Reorder the terms:
-90 + -24 + 5x + -2x = (x + -20) + 2

Combine like terms: -90 + -24 = -114
-114 + 5x + -2x = (x + -20) + 2

Combine like terms: 5x + -2x = 3x
-114 + 3x = (x + -20) + 2

Reorder the terms:
-114 + 3x = (-20 + x) + 2

Remove parenthesis around (-20 + x)
-114 + 3x = -20 + x + 2

Reorder the terms:
-114 + 3x = -20 + 2 + x

Combine like terms: -20 + 2 = -18
-114 + 3x = -18 + x

Solving
-114 + 3x = -18 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-114 + 3x + -1x = -18 + x + -1x

Combine like terms: 3x + -1x = 2x
-114 + 2x = -18 + x + -1x

Combine like terms: x + -1x = 0
-114 + 2x = -18 + 0
-114 + 2x = -18

Add '114' to each side of the equation.
-114 + 114 + 2x = -18 + 114

Combine like terms: -114 + 114 = 0
0 + 2x = -18 + 114
2x = -18 + 114

Combine like terms: -18 + 114 = 96
2x = 96

Divide each side by '2'.
x = 48

Simplifying
x = 48

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