-x+(13+4x)=-3(5-9x)+2

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Solution for -x+(13+4x)=-3(5-9x)+2 equation: 


Simplifying
-1x + (13 + 4x) = -3(5 + -9x) + 2

Remove parenthesis around (13 + 4x)
-1x + 13 + 4x = -3(5 + -9x) + 2

Reorder the terms:
13 + -1x + 4x = -3(5 + -9x) + 2

Combine like terms: -1x + 4x = 3x
13 + 3x = -3(5 + -9x) + 2
13 + 3x = (5 * -3 + -9x * -3) + 2
13 + 3x = (-15 + 27x) + 2

Reorder the terms:
13 + 3x = -15 + 2 + 27x

Combine like terms: -15 + 2 = -13
13 + 3x = -13 + 27x

Solving
13 + 3x = -13 + 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.
13 + 3x + -27x = -13 + 27x + -27x

Combine like terms: 3x + -27x = -24x
13 + -24x = -13 + 27x + -27x

Combine like terms: 27x + -27x = 0
13 + -24x = -13 + 0
13 + -24x = -13

Add '-13' to each side of the equation.
13 + -13 + -24x = -13 + -13

Combine like terms: 13 + -13 = 0
0 + -24x = -13 + -13
-24x = -13 + -13

Combine like terms: -13 + -13 = -26
-24x = -26

Divide each side by '-24'.
x = 1.083333333

Simplifying
x = 1.083333333

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