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

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


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

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

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

Reorder the terms for easier multiplication:
-13 + -5x = -3 * 2(5 + -9x)

Multiply -3 * 2
-13 + -5x = -6(5 + -9x)
-13 + -5x = (5 * -6 + -9x * -6)
-13 + -5x = (-30 + 54x)

Solving
-13 + -5x = -30 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
-13 + -5x + -54x = -30 + 54x + -54x

Combine like terms: -5x + -54x = -59x
-13 + -59x = -30 + 54x + -54x

Combine like terms: 54x + -54x = 0
-13 + -59x = -30 + 0
-13 + -59x = -30

Add '13' to each side of the equation.
-13 + 13 + -59x = -30 + 13

Combine like terms: -13 + 13 = 0
0 + -59x = -30 + 13
-59x = -30 + 13

Combine like terms: -30 + 13 = -17
-59x = -17

Divide each side by '-59'.
x = 0.2881355932

Simplifying
x = 0.2881355932

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