3(x+2)-1=5x+11

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Solution for 3(x+2)-1=5x+11 equation:


Simplifying
3(x + 2) + -1 = 5x + 11

Reorder the terms:
3(2 + x) + -1 = 5x + 11
(2 * 3 + x * 3) + -1 = 5x + 11
(6 + 3x) + -1 = 5x + 11

Reorder the terms:
6 + -1 + 3x = 5x + 11

Combine like terms: 6 + -1 = 5
5 + 3x = 5x + 11

Reorder the terms:
5 + 3x = 11 + 5x

Solving
5 + 3x = 11 + 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.
5 + 3x + -5x = 11 + 5x + -5x

Combine like terms: 3x + -5x = -2x
5 + -2x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -2x = 11 + 0
5 + -2x = 11

Add '-5' to each side of the equation.
5 + -5 + -2x = 11 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 11 + -5
-2x = 11 + -5

Combine like terms: 11 + -5 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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