6(x-3)=2x+6

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


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

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

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

Solving
-18 + 6x = 6 + 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 = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-18 + 4x = 6 + 0
-18 + 4x = 6

Add '18' to each side of the equation.
-18 + 18 + 4x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 6 + 18
4x = 6 + 18

Combine like terms: 6 + 18 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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