8(10+5x)-3(3-4x)=591

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Solution for 8(10+5x)-3(3-4x)=591 equation:


Simplifying
8(10 + 5x) + -3(3 + -4x) = 591
(10 * 8 + 5x * 8) + -3(3 + -4x) = 591
(80 + 40x) + -3(3 + -4x) = 591
80 + 40x + (3 * -3 + -4x * -3) = 591
80 + 40x + (-9 + 12x) = 591

Reorder the terms:
80 + -9 + 40x + 12x = 591

Combine like terms: 80 + -9 = 71
71 + 40x + 12x = 591

Combine like terms: 40x + 12x = 52x
71 + 52x = 591

Solving
71 + 52x = 591

Solving for variable 'x'.

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

Add '-71' to each side of the equation.
71 + -71 + 52x = 591 + -71

Combine like terms: 71 + -71 = 0
0 + 52x = 591 + -71
52x = 591 + -71

Combine like terms: 591 + -71 = 520
52x = 520

Divide each side by '52'.
x = 10

Simplifying
x = 10

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