3x=4(x-6)+6

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


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

Reorder the terms:
3x = 4(-6 + x) + 6
3x = (-6 * 4 + x * 4) + 6
3x = (-24 + 4x) + 6

Reorder the terms:
3x = -24 + 6 + 4x

Combine like terms: -24 + 6 = -18
3x = -18 + 4x

Solving
3x = -18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3x + -4x = -18 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1x = -18 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1x = -18 + 0
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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