6(x-3)=(x-9)+4x

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Solution for 6(x-3)=(x-9)+4x equation:


Simplifying
6(x + -3) = (x + -9) + 4x

Reorder the terms:
6(-3 + x) = (x + -9) + 4x
(-3 * 6 + x * 6) = (x + -9) + 4x
(-18 + 6x) = (x + -9) + 4x

Reorder the terms:
-18 + 6x = (-9 + x) + 4x

Remove parenthesis around (-9 + x)
-18 + 6x = -9 + x + 4x

Combine like terms: x + 4x = 5x
-18 + 6x = -9 + 5x

Solving
-18 + 6x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 6x + -5x = -9 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-18 + 1x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 1x = -9 + 0
-18 + 1x = -9

Add '18' to each side of the equation.
-18 + 18 + 1x = -9 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -9 + 18
1x = -9 + 18

Combine like terms: -9 + 18 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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