180=2(4x+1)+5x-4

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Solution for 180=2(4x+1)+5x-4 equation:


Simplifying
180 = 2(4x + 1) + 5x + -4

Reorder the terms:
180 = 2(1 + 4x) + 5x + -4
180 = (1 * 2 + 4x * 2) + 5x + -4
180 = (2 + 8x) + 5x + -4

Reorder the terms:
180 = 2 + -4 + 8x + 5x

Combine like terms: 2 + -4 = -2
180 = -2 + 8x + 5x

Combine like terms: 8x + 5x = 13x
180 = -2 + 13x

Solving
180 = -2 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
180 + -13x = -2 + 13x + -13x

Combine like terms: 13x + -13x = 0
180 + -13x = -2 + 0
180 + -13x = -2

Add '-180' to each side of the equation.
180 + -180 + -13x = -2 + -180

Combine like terms: 180 + -180 = 0
0 + -13x = -2 + -180
-13x = -2 + -180

Combine like terms: -2 + -180 = -182
-13x = -182

Divide each side by '-13'.
x = 14

Simplifying
x = 14

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