20(3x+6)=486-x

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Solution for 20(3x+6)=486-x equation:


Simplifying
20(3x + 6) = 486 + -1x

Reorder the terms:
20(6 + 3x) = 486 + -1x
(6 * 20 + 3x * 20) = 486 + -1x
(120 + 60x) = 486 + -1x

Solving
120 + 60x = 486 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
120 + 60x + x = 486 + -1x + x

Combine like terms: 60x + x = 61x
120 + 61x = 486 + -1x + x

Combine like terms: -1x + x = 0
120 + 61x = 486 + 0
120 + 61x = 486

Add '-120' to each side of the equation.
120 + -120 + 61x = 486 + -120

Combine like terms: 120 + -120 = 0
0 + 61x = 486 + -120
61x = 486 + -120

Combine like terms: 486 + -120 = 366
61x = 366

Divide each side by '61'.
x = 6

Simplifying
x = 6

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