(11x+3)=(13x-7)

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Solution for (11x+3)=(13x-7) equation:


Simplifying
(11x + 3) = (13x + -7)

Reorder the terms:
(3 + 11x) = (13x + -7)

Remove parenthesis around (3 + 11x)
3 + 11x = (13x + -7)

Reorder the terms:
3 + 11x = (-7 + 13x)

Remove parenthesis around (-7 + 13x)
3 + 11x = -7 + 13x

Solving
3 + 11x = -7 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
3 + 11x + -13x = -7 + 13x + -13x

Combine like terms: 11x + -13x = -2x
3 + -2x = -7 + 13x + -13x

Combine like terms: 13x + -13x = 0
3 + -2x = -7 + 0
3 + -2x = -7

Add '-3' to each side of the equation.
3 + -3 + -2x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -7 + -3
-2x = -7 + -3

Combine like terms: -7 + -3 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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