4x+120=x(8+6)

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Solution for 4x+120=x(8+6) equation:


Simplifying
4x + 120 = x(8 + 6)

Reorder the terms:
120 + 4x = x(8 + 6)

Combine like terms: 8 + 6 = 14
120 + 4x = x(14)

Reorder the terms for easier multiplication:
120 + 4x = 14x

Solving
120 + 4x = 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
120 + 4x + -14x = 14x + -14x

Combine like terms: 4x + -14x = -10x
120 + -10x = 14x + -14x

Combine like terms: 14x + -14x = 0
120 + -10x = 0

Add '-120' to each side of the equation.
120 + -120 + -10x = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -10x = 0 + -120
-10x = 0 + -120

Combine like terms: 0 + -120 = -120
-10x = -120

Divide each side by '-10'.
x = 12

Simplifying
x = 12

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