5(x+2)-3(x-3)=15-2x

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Solution for 5(x+2)-3(x-3)=15-2x equation:


Simplifying
5(x + 2) + -3(x + -3) = 15 + -2x

Reorder the terms:
5(2 + x) + -3(x + -3) = 15 + -2x
(2 * 5 + x * 5) + -3(x + -3) = 15 + -2x
(10 + 5x) + -3(x + -3) = 15 + -2x

Reorder the terms:
10 + 5x + -3(-3 + x) = 15 + -2x
10 + 5x + (-3 * -3 + x * -3) = 15 + -2x
10 + 5x + (9 + -3x) = 15 + -2x

Reorder the terms:
10 + 9 + 5x + -3x = 15 + -2x

Combine like terms: 10 + 9 = 19
19 + 5x + -3x = 15 + -2x

Combine like terms: 5x + -3x = 2x
19 + 2x = 15 + -2x

Solving
19 + 2x = 15 + -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.
19 + 2x + 2x = 15 + -2x + 2x

Combine like terms: 2x + 2x = 4x
19 + 4x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
19 + 4x = 15 + 0
19 + 4x = 15

Add '-19' to each side of the equation.
19 + -19 + 4x = 15 + -19

Combine like terms: 19 + -19 = 0
0 + 4x = 15 + -19
4x = 15 + -19

Combine like terms: 15 + -19 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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