-13-7x=-3(3x-3)-6

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Solution for -13-7x=-3(3x-3)-6 equation: 


Simplifying
-13 + -7x = -3(3x + -3) + -6

Reorder the terms:
-13 + -7x = -3(-3 + 3x) + -6
-13 + -7x = (-3 * -3 + 3x * -3) + -6
-13 + -7x = (9 + -9x) + -6

Reorder the terms:
-13 + -7x = 9 + -6 + -9x

Combine like terms: 9 + -6 = 3
-13 + -7x = 3 + -9x

Solving
-13 + -7x = 3 + -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.
-13 + -7x + 9x = 3 + -9x + 9x

Combine like terms: -7x + 9x = 2x
-13 + 2x = 3 + -9x + 9x

Combine like terms: -9x + 9x = 0
-13 + 2x = 3 + 0
-13 + 2x = 3

Add '13' to each side of the equation.
-13 + 13 + 2x = 3 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 3 + 13
2x = 3 + 13

Combine like terms: 3 + 13 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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