5(x-1)+13(2x+3)=3(2x-7)-x

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Solution for 5(x-1)+13(2x+3)=3(2x-7)-x equation:


Simplifying
5(x + -1) + 13(2x + 3) = 3(2x + -7) + -1x

Reorder the terms:
5(-1 + x) + 13(2x + 3) = 3(2x + -7) + -1x
(-1 * 5 + x * 5) + 13(2x + 3) = 3(2x + -7) + -1x
(-5 + 5x) + 13(2x + 3) = 3(2x + -7) + -1x

Reorder the terms:
-5 + 5x + 13(3 + 2x) = 3(2x + -7) + -1x
-5 + 5x + (3 * 13 + 2x * 13) = 3(2x + -7) + -1x
-5 + 5x + (39 + 26x) = 3(2x + -7) + -1x

Reorder the terms:
-5 + 39 + 5x + 26x = 3(2x + -7) + -1x

Combine like terms: -5 + 39 = 34
34 + 5x + 26x = 3(2x + -7) + -1x

Combine like terms: 5x + 26x = 31x
34 + 31x = 3(2x + -7) + -1x

Reorder the terms:
34 + 31x = 3(-7 + 2x) + -1x
34 + 31x = (-7 * 3 + 2x * 3) + -1x
34 + 31x = (-21 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
34 + 31x = -21 + 5x

Solving
34 + 31x = -21 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
34 + 31x + -5x = -21 + 5x + -5x

Combine like terms: 31x + -5x = 26x
34 + 26x = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
34 + 26x = -21 + 0
34 + 26x = -21

Add '-34' to each side of the equation.
34 + -34 + 26x = -21 + -34

Combine like terms: 34 + -34 = 0
0 + 26x = -21 + -34
26x = -21 + -34

Combine like terms: -21 + -34 = -55
26x = -55

Divide each side by '26'.
x = -2.115384615

Simplifying
x = -2.115384615

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