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

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


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

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

Reorder the terms:
3 + 3x = (11 + x)

Remove parenthesis around (11 + x)
3 + 3x = 11 + x

Solving
3 + 3x = 11 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 3x + -1x = 11 + x + -1x

Combine like terms: 3x + -1x = 2x
3 + 2x = 11 + x + -1x

Combine like terms: x + -1x = 0
3 + 2x = 11 + 0
3 + 2x = 11

Add '-3' to each side of the equation.
3 + -3 + 2x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 11 + -3
2x = 11 + -3

Combine like terms: 11 + -3 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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