6(x+3)=2x+54

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Solution for 6(x+3)=2x+54 equation:


Simplifying
6(x + 3) = 2x + 54

Reorder the terms:
6(3 + x) = 2x + 54
(3 * 6 + x * 6) = 2x + 54
(18 + 6x) = 2x + 54

Reorder the terms:
18 + 6x = 54 + 2x

Solving
18 + 6x = 54 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + 6x + -2x = 54 + 2x + -2x

Combine like terms: 6x + -2x = 4x
18 + 4x = 54 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 4x = 54 + 0
18 + 4x = 54

Add '-18' to each side of the equation.
18 + -18 + 4x = 54 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 54 + -18
4x = 54 + -18

Combine like terms: 54 + -18 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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