5(5x+8)=17(4x-28)

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Solution for 5(5x+8)=17(4x-28) equation:


Simplifying
5(5x + 8) = 17(4x + -28)

Reorder the terms:
5(8 + 5x) = 17(4x + -28)
(8 * 5 + 5x * 5) = 17(4x + -28)
(40 + 25x) = 17(4x + -28)

Reorder the terms:
40 + 25x = 17(-28 + 4x)
40 + 25x = (-28 * 17 + 4x * 17)
40 + 25x = (-476 + 68x)

Solving
40 + 25x = -476 + 68x

Solving for variable 'x'.

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

Add '-68x' to each side of the equation.
40 + 25x + -68x = -476 + 68x + -68x

Combine like terms: 25x + -68x = -43x
40 + -43x = -476 + 68x + -68x

Combine like terms: 68x + -68x = 0
40 + -43x = -476 + 0
40 + -43x = -476

Add '-40' to each side of the equation.
40 + -40 + -43x = -476 + -40

Combine like terms: 40 + -40 = 0
0 + -43x = -476 + -40
-43x = -476 + -40

Combine like terms: -476 + -40 = -516
-43x = -516

Divide each side by '-43'.
x = 12

Simplifying
x = 12

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