7(5x+8)=13x-4

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Solution for 7(5x+8)=13x-4 equation:


Simplifying
7(5x + 8) = 13x + -4

Reorder the terms:
7(8 + 5x) = 13x + -4
(8 * 7 + 5x * 7) = 13x + -4
(56 + 35x) = 13x + -4

Reorder the terms:
56 + 35x = -4 + 13x

Solving
56 + 35x = -4 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
56 + 35x + -13x = -4 + 13x + -13x

Combine like terms: 35x + -13x = 22x
56 + 22x = -4 + 13x + -13x

Combine like terms: 13x + -13x = 0
56 + 22x = -4 + 0
56 + 22x = -4

Add '-56' to each side of the equation.
56 + -56 + 22x = -4 + -56

Combine like terms: 56 + -56 = 0
0 + 22x = -4 + -56
22x = -4 + -56

Combine like terms: -4 + -56 = -60
22x = -60

Divide each side by '22'.
x = -2.727272727

Simplifying
x = -2.727272727

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