5[x+3]-2=2-x+9

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Solution for 5[x+3]-2=2-x+9 equation:


Simplifying
5[x + 3] + -2 = 2 + -1x + 9

Reorder the terms:
5[3 + x] + -2 = 2 + -1x + 9
[3 * 5 + x * 5] + -2 = 2 + -1x + 9
[15 + 5x] + -2 = 2 + -1x + 9

Reorder the terms:
15 + -2 + 5x = 2 + -1x + 9

Combine like terms: 15 + -2 = 13
13 + 5x = 2 + -1x + 9

Reorder the terms:
13 + 5x = 2 + 9 + -1x

Combine like terms: 2 + 9 = 11
13 + 5x = 11 + -1x

Solving
13 + 5x = 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.
13 + 5x + x = 11 + -1x + x

Combine like terms: 5x + x = 6x
13 + 6x = 11 + -1x + x

Combine like terms: -1x + x = 0
13 + 6x = 11 + 0
13 + 6x = 11

Add '-13' to each side of the equation.
13 + -13 + 6x = 11 + -13

Combine like terms: 13 + -13 = 0
0 + 6x = 11 + -13
6x = 11 + -13

Combine like terms: 11 + -13 = -2
6x = -2

Divide each side by '6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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