(5x+3)2=(11x-15)

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Solution for (5x+3)2=(11x-15) equation:


Simplifying
(5x + 3) * 2 = (11x + -15)

Reorder the terms:
(3 + 5x) * 2 = (11x + -15)

Reorder the terms for easier multiplication:
2(3 + 5x) = (11x + -15)
(3 * 2 + 5x * 2) = (11x + -15)
(6 + 10x) = (11x + -15)

Reorder the terms:
6 + 10x = (-15 + 11x)

Remove parenthesis around (-15 + 11x)
6 + 10x = -15 + 11x

Solving
6 + 10x = -15 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
6 + 10x + -11x = -15 + 11x + -11x

Combine like terms: 10x + -11x = -1x
6 + -1x = -15 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + -1x = -15 + 0
6 + -1x = -15

Add '-6' to each side of the equation.
6 + -6 + -1x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -15 + -6
-1x = -15 + -6

Combine like terms: -15 + -6 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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