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

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


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

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

Reorder the terms:
-24 + 6x = 3(-4 + x)
-24 + 6x = (-4 * 3 + x * 3)
-24 + 6x = (-12 + 3x)

Solving
-24 + 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.
-24 + 6x + -3x = -12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-24 + 3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 3x = -12 + 0
-24 + 3x = -12

Add '24' to each side of the equation.
-24 + 24 + 3x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = -12 + 24
3x = -12 + 24

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

Divide each side by '3'.
x = 4

Simplifying
x = 4

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