-3(x-5)+2=2(x+3)-4

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Solution for -3(x-5)+2=2(x+3)-4 equation: 


Simplifying
-3(x + -5) + 2 = 2(x + 3) + -4

Reorder the terms:
-3(-5 + x) + 2 = 2(x + 3) + -4
(-5 * -3 + x * -3) + 2 = 2(x + 3) + -4
(15 + -3x) + 2 = 2(x + 3) + -4

Reorder the terms:
15 + 2 + -3x = 2(x + 3) + -4

Combine like terms: 15 + 2 = 17
17 + -3x = 2(x + 3) + -4

Reorder the terms:
17 + -3x = 2(3 + x) + -4
17 + -3x = (3 * 2 + x * 2) + -4
17 + -3x = (6 + 2x) + -4

Reorder the terms:
17 + -3x = 6 + -4 + 2x

Combine like terms: 6 + -4 = 2
17 + -3x = 2 + 2x

Solving
17 + -3x = 2 + 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.
17 + -3x + -2x = 2 + 2x + -2x

Combine like terms: -3x + -2x = -5x
17 + -5x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
17 + -5x = 2 + 0
17 + -5x = 2

Add '-17' to each side of the equation.
17 + -17 + -5x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + -5x = 2 + -17
-5x = 2 + -17

Combine like terms: 2 + -17 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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