6(x-8)+12=3(x-7)

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Solution for 6(x-8)+12=3(x-7) equation: 


Simplifying
6(x + -8) + 12 = 3(x + -7)

Reorder the terms:
6(-8 + x) + 12 = 3(x + -7)
(-8 * 6 + x * 6) + 12 = 3(x + -7)
(-48 + 6x) + 12 = 3(x + -7)

Reorder the terms:
-48 + 12 + 6x = 3(x + -7)

Combine like terms: -48 + 12 = -36
-36 + 6x = 3(x + -7)

Reorder the terms:
-36 + 6x = 3(-7 + x)
-36 + 6x = (-7 * 3 + x * 3)
-36 + 6x = (-21 + 3x)

Solving
-36 + 6x = -21 + 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 = -21 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-36 + 3x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 3x = -21 + 0
-36 + 3x = -21

Add '36' to each side of the equation.
-36 + 36 + 3x = -21 + 36

Combine like terms: -36 + 36 = 0
0 + 3x = -21 + 36
3x = -21 + 36

Combine like terms: -21 + 36 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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