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

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


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

Reorder the terms:
6(-7 + x) + 12 = 3(x + -7)
(-7 * 6 + x * 6) + 12 = 3(x + -7)
(-42 + 6x) + 12 = 3(x + -7)

Reorder the terms:
-42 + 12 + 6x = 3(x + -7)

Combine like terms: -42 + 12 = -30
-30 + 6x = 3(x + -7)

Reorder the terms:
-30 + 6x = 3(-7 + x)
-30 + 6x = (-7 * 3 + x * 3)
-30 + 6x = (-21 + 3x)

Solving
-30 + 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.
-30 + 6x + -3x = -21 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-30 + 3x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 3x = -21 + 0
-30 + 3x = -21

Add '30' to each side of the equation.
-30 + 30 + 3x = -21 + 30

Combine like terms: -30 + 30 = 0
0 + 3x = -21 + 30
3x = -21 + 30

Combine like terms: -21 + 30 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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