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

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


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

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

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

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

Reorder the terms:
-30 + 7x = 3(-6 + x)
-30 + 7x = (-6 * 3 + x * 3)
-30 + 7x = (-18 + 3x)

Solving
-30 + 7x = -18 + 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 + 7x + -3x = -18 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-30 + 4x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-30 + 4x = -18 + 0
-30 + 4x = -18

Add '30' to each side of the equation.
-30 + 30 + 4x = -18 + 30

Combine like terms: -30 + 30 = 0
0 + 4x = -18 + 30
4x = -18 + 30

Combine like terms: -18 + 30 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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