2(x+3)=3(4-x)-11

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Solution for 2(x+3)=3(4-x)-11 equation:


Simplifying
2(x + 3) = 3(4 + -1x) + -11

Reorder the terms:
2(3 + x) = 3(4 + -1x) + -11
(3 * 2 + x * 2) = 3(4 + -1x) + -11
(6 + 2x) = 3(4 + -1x) + -11
6 + 2x = (4 * 3 + -1x * 3) + -11
6 + 2x = (12 + -3x) + -11

Reorder the terms:
6 + 2x = 12 + -11 + -3x

Combine like terms: 12 + -11 = 1
6 + 2x = 1 + -3x

Solving
6 + 2x = 1 + -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.
6 + 2x + 3x = 1 + -3x + 3x

Combine like terms: 2x + 3x = 5x
6 + 5x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 5x = 1 + 0
6 + 5x = 1

Add '-6' to each side of the equation.
6 + -6 + 5x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 1 + -6
5x = 1 + -6

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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