11+2x=3(-x+3)-38

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Solution for 11+2x=3(-x+3)-38 equation:


Simplifying
11 + 2x = 3(-1x + 3) + -38

Reorder the terms:
11 + 2x = 3(3 + -1x) + -38
11 + 2x = (3 * 3 + -1x * 3) + -38
11 + 2x = (9 + -3x) + -38

Reorder the terms:
11 + 2x = 9 + -38 + -3x

Combine like terms: 9 + -38 = -29
11 + 2x = -29 + -3x

Solving
11 + 2x = -29 + -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 + 2x + 3x = -29 + -3x + 3x

Combine like terms: 2x + 3x = 5x
11 + 5x = -29 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 5x = -29 + 0
11 + 5x = -29

Add '-11' to each side of the equation.
11 + -11 + 5x = -29 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = -29 + -11
5x = -29 + -11

Combine like terms: -29 + -11 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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