2x-4=3(x-6)

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Solution for 2x-4=3(x-6) equation:


Simplifying
2x + -4 = 3(x + -6)

Reorder the terms:
-4 + 2x = 3(x + -6)

Reorder the terms:
-4 + 2x = 3(-6 + x)
-4 + 2x = (-6 * 3 + x * 3)
-4 + 2x = (-18 + 3x)

Solving
-4 + 2x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 2x + -3x = -18 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-4 + -1x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -1x = -18 + 0
-4 + -1x = -18

Add '4' to each side of the equation.
-4 + 4 + -1x = -18 + 4

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

Combine like terms: -18 + 4 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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