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

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


Simplifying
-9(x + 6) + -1(-8x + -7) = -2x

Reorder the terms:
-9(6 + x) + -1(-8x + -7) = -2x
(6 * -9 + x * -9) + -1(-8x + -7) = -2x
(-54 + -9x) + -1(-8x + -7) = -2x

Reorder the terms:
-54 + -9x + -1(-7 + -8x) = -2x
-54 + -9x + (-7 * -1 + -8x * -1) = -2x
-54 + -9x + (7 + 8x) = -2x

Reorder the terms:
-54 + 7 + -9x + 8x = -2x

Combine like terms: -54 + 7 = -47
-47 + -9x + 8x = -2x

Combine like terms: -9x + 8x = -1x
-47 + -1x = -2x

Solving
-47 + -1x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-47 + -1x + 2x = -2x + 2x

Combine like terms: -1x + 2x = 1x
-47 + 1x = -2x + 2x

Combine like terms: -2x + 2x = 0
-47 + 1x = 0

Add '47' to each side of the equation.
-47 + 47 + 1x = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 1x = 0 + 47
1x = 0 + 47

Combine like terms: 0 + 47 = 47
1x = 47

Divide each side by '1'.
x = 47

Simplifying
x = 47

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