3x-7=8+6(x+2)-9

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Solution for 3x-7=8+6(x+2)-9 equation:


Simplifying
3x + -7 = 8 + 6(x + 2) + -9

Reorder the terms:
-7 + 3x = 8 + 6(x + 2) + -9

Reorder the terms:
-7 + 3x = 8 + 6(2 + x) + -9
-7 + 3x = 8 + (2 * 6 + x * 6) + -9
-7 + 3x = 8 + (12 + 6x) + -9

Reorder the terms:
-7 + 3x = 8 + 12 + -9 + 6x

Combine like terms: 8 + 12 = 20
-7 + 3x = 20 + -9 + 6x

Combine like terms: 20 + -9 = 11
-7 + 3x = 11 + 6x

Solving
-7 + 3x = 11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + 3x + -6x = 11 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-7 + -3x = 11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -3x = 11 + 0
-7 + -3x = 11

Add '7' to each side of the equation.
-7 + 7 + -3x = 11 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 11 + 7
-3x = 11 + 7

Combine like terms: 11 + 7 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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