21x-11(5x+12)=25(5x+30)

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Solution for 21x-11(5x+12)=25(5x+30) equation:


Simplifying
21x + -11(5x + 12) = 25(5x + 30)

Reorder the terms:
21x + -11(12 + 5x) = 25(5x + 30)
21x + (12 * -11 + 5x * -11) = 25(5x + 30)
21x + (-132 + -55x) = 25(5x + 30)

Reorder the terms:
-132 + 21x + -55x = 25(5x + 30)

Combine like terms: 21x + -55x = -34x
-132 + -34x = 25(5x + 30)

Reorder the terms:
-132 + -34x = 25(30 + 5x)
-132 + -34x = (30 * 25 + 5x * 25)
-132 + -34x = (750 + 125x)

Solving
-132 + -34x = 750 + 125x

Solving for variable 'x'.

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

Add '-125x' to each side of the equation.
-132 + -34x + -125x = 750 + 125x + -125x

Combine like terms: -34x + -125x = -159x
-132 + -159x = 750 + 125x + -125x

Combine like terms: 125x + -125x = 0
-132 + -159x = 750 + 0
-132 + -159x = 750

Add '132' to each side of the equation.
-132 + 132 + -159x = 750 + 132

Combine like terms: -132 + 132 = 0
0 + -159x = 750 + 132
-159x = 750 + 132

Combine like terms: 750 + 132 = 882
-159x = 882

Divide each side by '-159'.
x = -5.547169811

Simplifying
x = -5.547169811

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