43-9(x-7)=-x-6

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Solution for 43-9(x-7)=-x-6 equation:


Simplifying
43 + -9(x + -7) = -1x + -6

Reorder the terms:
43 + -9(-7 + x) = -1x + -6
43 + (-7 * -9 + x * -9) = -1x + -6
43 + (63 + -9x) = -1x + -6

Combine like terms: 43 + 63 = 106
106 + -9x = -1x + -6

Reorder the terms:
106 + -9x = -6 + -1x

Solving
106 + -9x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
106 + -9x + x = -6 + -1x + x

Combine like terms: -9x + x = -8x
106 + -8x = -6 + -1x + x

Combine like terms: -1x + x = 0
106 + -8x = -6 + 0
106 + -8x = -6

Add '-106' to each side of the equation.
106 + -106 + -8x = -6 + -106

Combine like terms: 106 + -106 = 0
0 + -8x = -6 + -106
-8x = -6 + -106

Combine like terms: -6 + -106 = -112
-8x = -112

Divide each side by '-8'.
x = 14

Simplifying
x = 14

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