11(x+1)=3x+13

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Solution for 11(x+1)=3x+13 equation:


Simplifying
11(x + 1) = 3x + 13

Reorder the terms:
11(1 + x) = 3x + 13
(1 * 11 + x * 11) = 3x + 13
(11 + 11x) = 3x + 13

Reorder the terms:
11 + 11x = 13 + 3x

Solving
11 + 11x = 13 + 3x

Solving for variable 'x'.

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

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

Combine like terms: 11x + -3x = 8x
11 + 8x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 8x = 13 + 0
11 + 8x = 13

Add '-11' to each side of the equation.
11 + -11 + 8x = 13 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = 13 + -11
8x = 13 + -11

Combine like terms: 13 + -11 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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