13x-4(3x+2)=-9x-5(12x-2)

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Solution for 13x-4(3x+2)=-9x-5(12x-2) equation:


Simplifying
13x + -4(3x + 2) = -9x + -5(12x + -2)

Reorder the terms:
13x + -4(2 + 3x) = -9x + -5(12x + -2)
13x + (2 * -4 + 3x * -4) = -9x + -5(12x + -2)
13x + (-8 + -12x) = -9x + -5(12x + -2)

Reorder the terms:
-8 + 13x + -12x = -9x + -5(12x + -2)

Combine like terms: 13x + -12x = 1x
-8 + 1x = -9x + -5(12x + -2)

Reorder the terms:
-8 + 1x = -9x + -5(-2 + 12x)
-8 + 1x = -9x + (-2 * -5 + 12x * -5)
-8 + 1x = -9x + (10 + -60x)

Reorder the terms:
-8 + 1x = 10 + -9x + -60x

Combine like terms: -9x + -60x = -69x
-8 + 1x = 10 + -69x

Solving
-8 + 1x = 10 + -69x

Solving for variable 'x'.

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

Add '69x' to each side of the equation.
-8 + 1x + 69x = 10 + -69x + 69x

Combine like terms: 1x + 69x = 70x
-8 + 70x = 10 + -69x + 69x

Combine like terms: -69x + 69x = 0
-8 + 70x = 10 + 0
-8 + 70x = 10

Add '8' to each side of the equation.
-8 + 8 + 70x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 70x = 10 + 8
70x = 10 + 8

Combine like terms: 10 + 8 = 18
70x = 18

Divide each side by '70'.
x = 0.2571428571

Simplifying
x = 0.2571428571

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