-5(x-9)-(-9x-8)=3x

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


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

Reorder the terms:
-5(-9 + x) + -1(-9x + -8) = 3x
(-9 * -5 + x * -5) + -1(-9x + -8) = 3x
(45 + -5x) + -1(-9x + -8) = 3x

Reorder the terms:
45 + -5x + -1(-8 + -9x) = 3x
45 + -5x + (-8 * -1 + -9x * -1) = 3x
45 + -5x + (8 + 9x) = 3x

Reorder the terms:
45 + 8 + -5x + 9x = 3x

Combine like terms: 45 + 8 = 53
53 + -5x + 9x = 3x

Combine like terms: -5x + 9x = 4x
53 + 4x = 3x

Solving
53 + 4x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
53 + 4x + -3x = 3x + -3x

Combine like terms: 4x + -3x = 1x
53 + 1x = 3x + -3x

Combine like terms: 3x + -3x = 0
53 + 1x = 0

Add '-53' to each side of the equation.
53 + -53 + 1x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + 1x = 0 + -53
1x = 0 + -53

Combine like terms: 0 + -53 = -53
1x = -53

Divide each side by '1'.
x = -53

Simplifying
x = -53

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