180-(3x-8)=(5x+2)

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Solution for 180-(3x-8)=(5x+2) equation:


Simplifying
180 + -1(3x + -8) = (5x + 2)

Reorder the terms:
180 + -1(-8 + 3x) = (5x + 2)
180 + (-8 * -1 + 3x * -1) = (5x + 2)
180 + (8 + -3x) = (5x + 2)

Combine like terms: 180 + 8 = 188
188 + -3x = (5x + 2)

Reorder the terms:
188 + -3x = (2 + 5x)

Remove parenthesis around (2 + 5x)
188 + -3x = 2 + 5x

Solving
188 + -3x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
188 + -3x + -5x = 2 + 5x + -5x

Combine like terms: -3x + -5x = -8x
188 + -8x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
188 + -8x = 2 + 0
188 + -8x = 2

Add '-188' to each side of the equation.
188 + -188 + -8x = 2 + -188

Combine like terms: 188 + -188 = 0
0 + -8x = 2 + -188
-8x = 2 + -188

Combine like terms: 2 + -188 = -186
-8x = -186

Divide each side by '-8'.
x = 23.25

Simplifying
x = 23.25

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