5[x+3]-2x=-7

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Solution for 5[x+3]-2x=-7 equation: 


Simplifying
5[x + 3] + -2x = -7

Reorder the terms:
5[3 + x] + -2x = -7
[3 * 5 + x * 5] + -2x = -7
[15 + 5x] + -2x = -7

Combine like terms: 5x + -2x = 3x
15 + 3x = -7

Solving
15 + 3x = -7

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 3x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = -7 + -15
3x = -7 + -15

Combine like terms: -7 + -15 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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