12x-18=7(x-2)+6

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Solution for 12x-18=7(x-2)+6 equation:


Simplifying
12x + -18 = 7(x + -2) + 6

Reorder the terms:
-18 + 12x = 7(x + -2) + 6

Reorder the terms:
-18 + 12x = 7(-2 + x) + 6
-18 + 12x = (-2 * 7 + x * 7) + 6
-18 + 12x = (-14 + 7x) + 6

Reorder the terms:
-18 + 12x = -14 + 6 + 7x

Combine like terms: -14 + 6 = -8
-18 + 12x = -8 + 7x

Solving
-18 + 12x = -8 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-18 + 12x + -7x = -8 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-18 + 5x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + 5x = -8 + 0
-18 + 5x = -8

Add '18' to each side of the equation.
-18 + 18 + 5x = -8 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -8 + 18
5x = -8 + 18

Combine like terms: -8 + 18 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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