5(x-2)-8=-4(5x+3)-6x

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Solution for 5(x-2)-8=-4(5x+3)-6x equation:


Simplifying
5(x + -2) + -8 = -4(5x + 3) + -6x

Reorder the terms:
5(-2 + x) + -8 = -4(5x + 3) + -6x
(-2 * 5 + x * 5) + -8 = -4(5x + 3) + -6x
(-10 + 5x) + -8 = -4(5x + 3) + -6x

Reorder the terms:
-10 + -8 + 5x = -4(5x + 3) + -6x

Combine like terms: -10 + -8 = -18
-18 + 5x = -4(5x + 3) + -6x

Reorder the terms:
-18 + 5x = -4(3 + 5x) + -6x
-18 + 5x = (3 * -4 + 5x * -4) + -6x
-18 + 5x = (-12 + -20x) + -6x

Combine like terms: -20x + -6x = -26x
-18 + 5x = -12 + -26x

Solving
-18 + 5x = -12 + -26x

Solving for variable 'x'.

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

Add '26x' to each side of the equation.
-18 + 5x + 26x = -12 + -26x + 26x

Combine like terms: 5x + 26x = 31x
-18 + 31x = -12 + -26x + 26x

Combine like terms: -26x + 26x = 0
-18 + 31x = -12 + 0
-18 + 31x = -12

Add '18' to each side of the equation.
-18 + 18 + 31x = -12 + 18

Combine like terms: -18 + 18 = 0
0 + 31x = -12 + 18
31x = -12 + 18

Combine like terms: -12 + 18 = 6
31x = 6

Divide each side by '31'.
x = 0.1935483871

Simplifying
x = 0.1935483871

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