-5+(4x-3)=9(-3x-2)-2

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Solution for -5+(4x-3)=9(-3x-2)-2 equation:


Simplifying
-5 + (4x + -3) = 9(-3x + -2) + -2

Reorder the terms:
-5 + (-3 + 4x) = 9(-3x + -2) + -2

Remove parenthesis around (-3 + 4x)
-5 + -3 + 4x = 9(-3x + -2) + -2

Combine like terms: -5 + -3 = -8
-8 + 4x = 9(-3x + -2) + -2

Reorder the terms:
-8 + 4x = 9(-2 + -3x) + -2
-8 + 4x = (-2 * 9 + -3x * 9) + -2
-8 + 4x = (-18 + -27x) + -2

Reorder the terms:
-8 + 4x = -18 + -2 + -27x

Combine like terms: -18 + -2 = -20
-8 + 4x = -20 + -27x

Solving
-8 + 4x = -20 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
-8 + 4x + 27x = -20 + -27x + 27x

Combine like terms: 4x + 27x = 31x
-8 + 31x = -20 + -27x + 27x

Combine like terms: -27x + 27x = 0
-8 + 31x = -20 + 0
-8 + 31x = -20

Add '8' to each side of the equation.
-8 + 8 + 31x = -20 + 8

Combine like terms: -8 + 8 = 0
0 + 31x = -20 + 8
31x = -20 + 8

Combine like terms: -20 + 8 = -12
31x = -12

Divide each side by '31'.
x = -0.3870967742

Simplifying
x = -0.3870967742

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