13(5-2x)=-13(4x+1)-8x

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Solution for 13(5-2x)=-13(4x+1)-8x equation: 


Simplifying
13(5 + -2x) = -13(4x + 1) + -8x
(5 * 13 + -2x * 13) = -13(4x + 1) + -8x
(65 + -26x) = -13(4x + 1) + -8x

Reorder the terms:
65 + -26x = -13(1 + 4x) + -8x
65 + -26x = (1 * -13 + 4x * -13) + -8x
65 + -26x = (-13 + -52x) + -8x

Combine like terms: -52x + -8x = -60x
65 + -26x = -13 + -60x

Solving
65 + -26x = -13 + -60x

Solving for variable 'x'.

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

Add '60x' to each side of the equation.
65 + -26x + 60x = -13 + -60x + 60x

Combine like terms: -26x + 60x = 34x
65 + 34x = -13 + -60x + 60x

Combine like terms: -60x + 60x = 0
65 + 34x = -13 + 0
65 + 34x = -13

Add '-65' to each side of the equation.
65 + -65 + 34x = -13 + -65

Combine like terms: 65 + -65 = 0
0 + 34x = -13 + -65
34x = -13 + -65

Combine like terms: -13 + -65 = -78
34x = -78

Divide each side by '34'.
x = -2.294117647

Simplifying
x = -2.294117647

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