7x-8=3x+2*3x+6

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


Simplifying
7x + -8 = 3x + 2 * 3x + 6

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

Multiply 2 * 3
-8 + 7x = 3x + 6x + 6

Reorder the terms:
-8 + 7x = 6 + 3x + 6x

Combine like terms: 3x + 6x = 9x
-8 + 7x = 6 + 9x

Solving
-8 + 7x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 7x + -9x = 6 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-8 + -2x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -2x = 6 + 0
-8 + -2x = 6

Add '8' to each side of the equation.
-8 + 8 + -2x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 6 + 8
-2x = 6 + 8

Combine like terms: 6 + 8 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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