5(5x-5)-6(-6-6x)=(28+62x)

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Solution for 5(5x-5)-6(-6-6x)=(28+62x) equation:


Simplifying
5(5x + -5) + -6(-6 + -6x) = (28 + 62x)

Reorder the terms:
5(-5 + 5x) + -6(-6 + -6x) = (28 + 62x)
(-5 * 5 + 5x * 5) + -6(-6 + -6x) = (28 + 62x)
(-25 + 25x) + -6(-6 + -6x) = (28 + 62x)
-25 + 25x + (-6 * -6 + -6x * -6) = (28 + 62x)
-25 + 25x + (36 + 36x) = (28 + 62x)

Reorder the terms:
-25 + 36 + 25x + 36x = (28 + 62x)

Combine like terms: -25 + 36 = 11
11 + 25x + 36x = (28 + 62x)

Combine like terms: 25x + 36x = 61x
11 + 61x = (28 + 62x)

Remove parenthesis around (28 + 62x)
11 + 61x = 28 + 62x

Solving
11 + 61x = 28 + 62x

Solving for variable 'x'.

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

Add '-62x' to each side of the equation.
11 + 61x + -62x = 28 + 62x + -62x

Combine like terms: 61x + -62x = -1x
11 + -1x = 28 + 62x + -62x

Combine like terms: 62x + -62x = 0
11 + -1x = 28 + 0
11 + -1x = 28

Add '-11' to each side of the equation.
11 + -11 + -1x = 28 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 28 + -11
-1x = 28 + -11

Combine like terms: 28 + -11 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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