3(x+1)=11-x

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


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

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

Solving
3 + 3x = 11 + -1x

Solving for variable 'x'.

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

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

Combine like terms: 3x + x = 4x
3 + 4x = 11 + -1x + x

Combine like terms: -1x + x = 0
3 + 4x = 11 + 0
3 + 4x = 11

Add '-3' to each side of the equation.
3 + -3 + 4x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 11 + -3
4x = 11 + -3

Combine like terms: 11 + -3 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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