3(x+2)-5=-2(x-3)+8

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Solution for 3(x+2)-5=-2(x-3)+8 equation: 


Simplifying
3(x + 2) + -5 = -2(x + -3) + 8

Reorder the terms:
3(2 + x) + -5 = -2(x + -3) + 8
(2 * 3 + x * 3) + -5 = -2(x + -3) + 8
(6 + 3x) + -5 = -2(x + -3) + 8

Reorder the terms:
6 + -5 + 3x = -2(x + -3) + 8

Combine like terms: 6 + -5 = 1
1 + 3x = -2(x + -3) + 8

Reorder the terms:
1 + 3x = -2(-3 + x) + 8
1 + 3x = (-3 * -2 + x * -2) + 8
1 + 3x = (6 + -2x) + 8

Reorder the terms:
1 + 3x = 6 + 8 + -2x

Combine like terms: 6 + 8 = 14
1 + 3x = 14 + -2x

Solving
1 + 3x = 14 + -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.
1 + 3x + 2x = 14 + -2x + 2x

Combine like terms: 3x + 2x = 5x
1 + 5x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 5x = 14 + 0
1 + 5x = 14

Add '-1' to each side of the equation.
1 + -1 + 5x = 14 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 14 + -1
5x = 14 + -1

Combine like terms: 14 + -1 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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