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

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


Simplifying
(x + -3) + -1(x + 7) = 9x

Reorder the terms:
(-3 + x) + -1(x + 7) = 9x

Remove parenthesis around (-3 + x)
-3 + x + -1(x + 7) = 9x

Reorder the terms:
-3 + x + -1(7 + x) = 9x
-3 + x + (7 * -1 + x * -1) = 9x
-3 + x + (-7 + -1x) = 9x

Reorder the terms:
-3 + -7 + x + -1x = 9x

Combine like terms: -3 + -7 = -10
-10 + x + -1x = 9x

Combine like terms: x + -1x = 0
-10 + 0 = 9x
-10 = 9x

Solving
-10 = 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.
-10 + -9x = 9x + -9x

Combine like terms: 9x + -9x = 0
-10 + -9x = 0

Add '10' to each side of the equation.
-10 + 10 + -9x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -9x = 0 + 10
-9x = 0 + 10

Combine like terms: 0 + 10 = 10
-9x = 10

Divide each side by '-9'.
x = -1.111111111

Simplifying
x = -1.111111111

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