3(2x-6)+7=7x-8

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Solution for 3(2x-6)+7=7x-8 equation:


Simplifying
3(2x + -6) + 7 = 7x + -8

Reorder the terms:
3(-6 + 2x) + 7 = 7x + -8
(-6 * 3 + 2x * 3) + 7 = 7x + -8
(-18 + 6x) + 7 = 7x + -8

Reorder the terms:
-18 + 7 + 6x = 7x + -8

Combine like terms: -18 + 7 = -11
-11 + 6x = 7x + -8

Reorder the terms:
-11 + 6x = -8 + 7x

Solving
-11 + 6x = -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.
-11 + 6x + -7x = -8 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-11 + -1x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -1x = -8 + 0
-11 + -1x = -8

Add '11' to each side of the equation.
-11 + 11 + -1x = -8 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = -8 + 11
-1x = -8 + 11

Combine like terms: -8 + 11 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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