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

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


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

Reorder the terms:
6(-6 + 3x) = 4(x + -2)
(-6 * 6 + 3x * 6) = 4(x + -2)
(-36 + 18x) = 4(x + -2)

Reorder the terms:
-36 + 18x = 4(-2 + x)
-36 + 18x = (-2 * 4 + x * 4)
-36 + 18x = (-8 + 4x)

Solving
-36 + 18x = -8 + 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.
-36 + 18x + -4x = -8 + 4x + -4x

Combine like terms: 18x + -4x = 14x
-36 + 14x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-36 + 14x = -8 + 0
-36 + 14x = -8

Add '36' to each side of the equation.
-36 + 36 + 14x = -8 + 36

Combine like terms: -36 + 36 = 0
0 + 14x = -8 + 36
14x = -8 + 36

Combine like terms: -8 + 36 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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