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

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


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

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

Combine like terms: 9 + 5 = 14
14 + -3x = -2(x + 2)

Reorder the terms:
14 + -3x = -2(2 + x)
14 + -3x = (2 * -2 + x * -2)
14 + -3x = (-4 + -2x)

Solving
14 + -3x = -4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
14 + -3x + 2x = -4 + -2x + 2x

Combine like terms: -3x + 2x = -1x
14 + -1x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
14 + -1x = -4 + 0
14 + -1x = -4

Add '-14' to each side of the equation.
14 + -14 + -1x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -4 + -14
-1x = -4 + -14

Combine like terms: -4 + -14 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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