9x-7=-6(x+3)+11

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Solution for 9x-7=-6(x+3)+11 equation:


Simplifying
9x + -7 = -6(x + 3) + 11

Reorder the terms:
-7 + 9x = -6(x + 3) + 11

Reorder the terms:
-7 + 9x = -6(3 + x) + 11
-7 + 9x = (3 * -6 + x * -6) + 11
-7 + 9x = (-18 + -6x) + 11

Reorder the terms:
-7 + 9x = -18 + 11 + -6x

Combine like terms: -18 + 11 = -7
-7 + 9x = -7 + -6x

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

Combine like terms: -7 + 7 = 0
0 + 9x = -7 + 7 + -6x
9x = -7 + 7 + -6x

Combine like terms: -7 + 7 = 0
9x = 0 + -6x
9x = -6x

Solving
9x = -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.
9x + 6x = -6x + 6x

Combine like terms: 9x + 6x = 15x
15x = -6x + 6x

Combine like terms: -6x + 6x = 0
15x = 0

Divide each side by '15'.
x = 0

Simplifying
x = 0

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