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

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


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

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

Reorder the terms:
-36 + 6x = 3(-4 + x)
-36 + 6x = (-4 * 3 + x * 3)
-36 + 6x = (-12 + 3x)

Solving
-36 + 6x = -12 + 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.
-36 + 6x + -3x = -12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-36 + 3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 3x = -12 + 0
-36 + 3x = -12

Add '36' to each side of the equation.
-36 + 36 + 3x = -12 + 36

Combine like terms: -36 + 36 = 0
0 + 3x = -12 + 36
3x = -12 + 36

Combine like terms: -12 + 36 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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