120=3x+6(x+5)

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Solution for 120=3x+6(x+5) equation:


Simplifying
120 = 3x + 6(x + 5)

Reorder the terms:
120 = 3x + 6(5 + x)
120 = 3x + (5 * 6 + x * 6)
120 = 3x + (30 + 6x)

Reorder the terms:
120 = 30 + 3x + 6x

Combine like terms: 3x + 6x = 9x
120 = 30 + 9x

Solving
120 = 30 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
120 + -9x = 30 + 9x + -9x

Combine like terms: 9x + -9x = 0
120 + -9x = 30 + 0
120 + -9x = 30

Add '-120' to each side of the equation.
120 + -120 + -9x = 30 + -120

Combine like terms: 120 + -120 = 0
0 + -9x = 30 + -120
-9x = 30 + -120

Combine like terms: 30 + -120 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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