5(x+3)+2(-x+9)=-3

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Solution for 5(x+3)+2(-x+9)=-3 equation:


Simplifying
5(x + 3) + 2(-1x + 9) = -3

Reorder the terms:
5(3 + x) + 2(-1x + 9) = -3
(3 * 5 + x * 5) + 2(-1x + 9) = -3
(15 + 5x) + 2(-1x + 9) = -3

Reorder the terms:
15 + 5x + 2(9 + -1x) = -3
15 + 5x + (9 * 2 + -1x * 2) = -3
15 + 5x + (18 + -2x) = -3

Reorder the terms:
15 + 18 + 5x + -2x = -3

Combine like terms: 15 + 18 = 33
33 + 5x + -2x = -3

Combine like terms: 5x + -2x = 3x
33 + 3x = -3

Solving
33 + 3x = -3

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 3x = -3 + -33

Combine like terms: 33 + -33 = 0
0 + 3x = -3 + -33
3x = -3 + -33

Combine like terms: -3 + -33 = -36
3x = -36

Divide each side by '3'.
x = -12

Simplifying
x = -12

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