6(x-7)+12=4(x-6)

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Solution for 6(x-7)+12=4(x-6) equation: 


Simplifying
6(x + -7) + 12 = 4(x + -6)

Reorder the terms:
6(-7 + x) + 12 = 4(x + -6)
(-7 * 6 + x * 6) + 12 = 4(x + -6)
(-42 + 6x) + 12 = 4(x + -6)

Reorder the terms:
-42 + 12 + 6x = 4(x + -6)

Combine like terms: -42 + 12 = -30
-30 + 6x = 4(x + -6)

Reorder the terms:
-30 + 6x = 4(-6 + x)
-30 + 6x = (-6 * 4 + x * 4)
-30 + 6x = (-24 + 4x)

Solving
-30 + 6x = -24 + 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.
-30 + 6x + -4x = -24 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-30 + 2x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + 2x = -24 + 0
-30 + 2x = -24

Add '30' to each side of the equation.
-30 + 30 + 2x = -24 + 30

Combine like terms: -30 + 30 = 0
0 + 2x = -24 + 30
2x = -24 + 30

Combine like terms: -24 + 30 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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