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

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


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

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

Solving
-11 + 5x = 15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-11 + 5x + 6x = 15 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-11 + 11x = 15 + -6x + 6x

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

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

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

Combine like terms: 15 + 11 = 26
11x = 26

Divide each side by '11'.
x = 2.363636364

Simplifying
x = 2.363636364

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