11(x-1)=5x+13

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Solution for 11(x-1)=5x+13 equation:


Simplifying
11(x + -1) = 5x + 13

Reorder the terms:
11(-1 + x) = 5x + 13
(-1 * 11 + x * 11) = 5x + 13
(-11 + 11x) = 5x + 13

Reorder the terms:
-11 + 11x = 13 + 5x

Solving
-11 + 11x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-11 + 11x + -5x = 13 + 5x + -5x

Combine like terms: 11x + -5x = 6x
-11 + 6x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-11 + 6x = 13 + 0
-11 + 6x = 13

Add '11' to each side of the equation.
-11 + 11 + 6x = 13 + 11

Combine like terms: -11 + 11 = 0
0 + 6x = 13 + 11
6x = 13 + 11

Combine like terms: 13 + 11 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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