3(x+6)=6(x-3)+x

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


Simplifying
3(x + 6) = 6(x + -3) + x

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

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

Combine like terms: 6x + x = 7x
18 + 3x = -18 + 7x

Solving
18 + 3x = -18 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
18 + 3x + -7x = -18 + 7x + -7x

Combine like terms: 3x + -7x = -4x
18 + -4x = -18 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -4x = -18 + 0
18 + -4x = -18

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

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

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

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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