2x-(516-5x)=5(28x-15)

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Solution for 2x-(516-5x)=5(28x-15) equation:


Simplifying
2x + -1(516 + -5x) = 5(28x + -15)
2x + (516 * -1 + -5x * -1) = 5(28x + -15)
2x + (-516 + 5x) = 5(28x + -15)

Reorder the terms:
-516 + 2x + 5x = 5(28x + -15)

Combine like terms: 2x + 5x = 7x
-516 + 7x = 5(28x + -15)

Reorder the terms:
-516 + 7x = 5(-15 + 28x)
-516 + 7x = (-15 * 5 + 28x * 5)
-516 + 7x = (-75 + 140x)

Solving
-516 + 7x = -75 + 140x

Solving for variable 'x'.

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

Add '-140x' to each side of the equation.
-516 + 7x + -140x = -75 + 140x + -140x

Combine like terms: 7x + -140x = -133x
-516 + -133x = -75 + 140x + -140x

Combine like terms: 140x + -140x = 0
-516 + -133x = -75 + 0
-516 + -133x = -75

Add '516' to each side of the equation.
-516 + 516 + -133x = -75 + 516

Combine like terms: -516 + 516 = 0
0 + -133x = -75 + 516
-133x = -75 + 516

Combine like terms: -75 + 516 = 441
-133x = 441

Divide each side by '-133'.
x = -3.315789474

Simplifying
x = -3.315789474

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