3x-6+7x-6=x+9+2x+7

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Solution for 3x-6+7x-6=x+9+2x+7 equation:


Simplifying
3x + -6 + 7x + -6 = x + 9 + 2x + 7

Reorder the terms:
-6 + -6 + 3x + 7x = x + 9 + 2x + 7

Combine like terms: -6 + -6 = -12
-12 + 3x + 7x = x + 9 + 2x + 7

Combine like terms: 3x + 7x = 10x
-12 + 10x = x + 9 + 2x + 7

Reorder the terms:
-12 + 10x = 9 + 7 + x + 2x

Combine like terms: 9 + 7 = 16
-12 + 10x = 16 + x + 2x

Combine like terms: x + 2x = 3x
-12 + 10x = 16 + 3x

Solving
-12 + 10x = 16 + 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.
-12 + 10x + -3x = 16 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-12 + 7x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 7x = 16 + 0
-12 + 7x = 16

Add '12' to each side of the equation.
-12 + 12 + 7x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 16 + 12
7x = 16 + 12

Combine like terms: 16 + 12 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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