120=5x+4(2x-9)

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Solution for 120=5x+4(2x-9) equation:


Simplifying
120 = 5x + 4(2x + -9)

Reorder the terms:
120 = 5x + 4(-9 + 2x)
120 = 5x + (-9 * 4 + 2x * 4)
120 = 5x + (-36 + 8x)

Reorder the terms:
120 = -36 + 5x + 8x

Combine like terms: 5x + 8x = 13x
120 = -36 + 13x

Solving
120 = -36 + 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.
120 + -13x = -36 + 13x + -13x

Combine like terms: 13x + -13x = 0
120 + -13x = -36 + 0
120 + -13x = -36

Add '-120' to each side of the equation.
120 + -120 + -13x = -36 + -120

Combine like terms: 120 + -120 = 0
0 + -13x = -36 + -120
-13x = -36 + -120

Combine like terms: -36 + -120 = -156
-13x = -156

Divide each side by '-13'.
x = 12

Simplifying
x = 12

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