(-3x+7)-(8x-2)=5x+9

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Solution for (-3x+7)-(8x-2)=5x+9 equation:


Simplifying
(-3x + 7) + -1(8x + -2) = 5x + 9

Reorder the terms:
(7 + -3x) + -1(8x + -2) = 5x + 9

Remove parenthesis around (7 + -3x)
7 + -3x + -1(8x + -2) = 5x + 9

Reorder the terms:
7 + -3x + -1(-2 + 8x) = 5x + 9
7 + -3x + (-2 * -1 + 8x * -1) = 5x + 9
7 + -3x + (2 + -8x) = 5x + 9

Reorder the terms:
7 + 2 + -3x + -8x = 5x + 9

Combine like terms: 7 + 2 = 9
9 + -3x + -8x = 5x + 9

Combine like terms: -3x + -8x = -11x
9 + -11x = 5x + 9

Reorder the terms:
9 + -11x = 9 + 5x

Add '-9' to each side of the equation.
9 + -9 + -11x = 9 + -9 + 5x

Combine like terms: 9 + -9 = 0
0 + -11x = 9 + -9 + 5x
-11x = 9 + -9 + 5x

Combine like terms: 9 + -9 = 0
-11x = 0 + 5x
-11x = 5x

Solving
-11x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-11x + -5x = 5x + -5x

Combine like terms: -11x + -5x = -16x
-16x = 5x + -5x

Combine like terms: 5x + -5x = 0
-16x = 0

Divide each side by '-16'.
x = 0

Simplifying
x = 0

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