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

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Solution for -5(x-8)-(-9x-1)=3x equation:


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

Reorder the terms:
-5(-8 + x) + -1(-9x + -1) = 3x
(-8 * -5 + x * -5) + -1(-9x + -1) = 3x
(40 + -5x) + -1(-9x + -1) = 3x

Reorder the terms:
40 + -5x + -1(-1 + -9x) = 3x
40 + -5x + (-1 * -1 + -9x * -1) = 3x
40 + -5x + (1 + 9x) = 3x

Reorder the terms:
40 + 1 + -5x + 9x = 3x

Combine like terms: 40 + 1 = 41
41 + -5x + 9x = 3x

Combine like terms: -5x + 9x = 4x
41 + 4x = 3x

Solving
41 + 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.
41 + 4x + -3x = 3x + -3x

Combine like terms: 4x + -3x = 1x
41 + 1x = 3x + -3x

Combine like terms: 3x + -3x = 0
41 + 1x = 0

Add '-41' to each side of the equation.
41 + -41 + 1x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 1x = 0 + -41
1x = 0 + -41

Combine like terms: 0 + -41 = -41
1x = -41

Divide each side by '1'.
x = -41

Simplifying
x = -41

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