-x-(13+4x)=-3(6-9x)+2

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Solution for -x-(13+4x)=-3(6-9x)+2 equation:


Simplifying
-1x + -1(13 + 4x) = -3(6 + -9x) + 2
-1x + (13 * -1 + 4x * -1) = -3(6 + -9x) + 2
-1x + (-13 + -4x) = -3(6 + -9x) + 2

Reorder the terms:
-13 + -1x + -4x = -3(6 + -9x) + 2

Combine like terms: -1x + -4x = -5x
-13 + -5x = -3(6 + -9x) + 2
-13 + -5x = (6 * -3 + -9x * -3) + 2
-13 + -5x = (-18 + 27x) + 2

Reorder the terms:
-13 + -5x = -18 + 2 + 27x

Combine like terms: -18 + 2 = -16
-13 + -5x = -16 + 27x

Solving
-13 + -5x = -16 + 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 + -5x + -27x = -16 + 27x + -27x

Combine like terms: -5x + -27x = -32x
-13 + -32x = -16 + 27x + -27x

Combine like terms: 27x + -27x = 0
-13 + -32x = -16 + 0
-13 + -32x = -16

Add '13' to each side of the equation.
-13 + 13 + -32x = -16 + 13

Combine like terms: -13 + 13 = 0
0 + -32x = -16 + 13
-32x = -16 + 13

Combine like terms: -16 + 13 = -3
-32x = -3

Divide each side by '-32'.
x = 0.09375

Simplifying
x = 0.09375

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