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

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


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

Reorder the terms:
5(-3 + x) + -2 = -3(-8x + 3) + -3x
(-3 * 5 + x * 5) + -2 = -3(-8x + 3) + -3x
(-15 + 5x) + -2 = -3(-8x + 3) + -3x

Reorder the terms:
-15 + -2 + 5x = -3(-8x + 3) + -3x

Combine like terms: -15 + -2 = -17
-17 + 5x = -3(-8x + 3) + -3x

Reorder the terms:
-17 + 5x = -3(3 + -8x) + -3x
-17 + 5x = (3 * -3 + -8x * -3) + -3x
-17 + 5x = (-9 + 24x) + -3x

Combine like terms: 24x + -3x = 21x
-17 + 5x = -9 + 21x

Solving
-17 + 5x = -9 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-17 + 5x + -21x = -9 + 21x + -21x

Combine like terms: 5x + -21x = -16x
-17 + -16x = -9 + 21x + -21x

Combine like terms: 21x + -21x = 0
-17 + -16x = -9 + 0
-17 + -16x = -9

Add '17' to each side of the equation.
-17 + 17 + -16x = -9 + 17

Combine like terms: -17 + 17 = 0
0 + -16x = -9 + 17
-16x = -9 + 17

Combine like terms: -9 + 17 = 8
-16x = 8

Divide each side by '-16'.
x = -0.5

Simplifying
x = -0.5

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