-(5x-17)-3(x-1)=-3(2x+3)

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Solution for -(5x-17)-3(x-1)=-3(2x+3) equation:


Simplifying
-1(5x + -17) + -3(x + -1) = -3(2x + 3)

Reorder the terms:
-1(-17 + 5x) + -3(x + -1) = -3(2x + 3)
(-17 * -1 + 5x * -1) + -3(x + -1) = -3(2x + 3)
(17 + -5x) + -3(x + -1) = -3(2x + 3)

Reorder the terms:
17 + -5x + -3(-1 + x) = -3(2x + 3)
17 + -5x + (-1 * -3 + x * -3) = -3(2x + 3)
17 + -5x + (3 + -3x) = -3(2x + 3)

Reorder the terms:
17 + 3 + -5x + -3x = -3(2x + 3)

Combine like terms: 17 + 3 = 20
20 + -5x + -3x = -3(2x + 3)

Combine like terms: -5x + -3x = -8x
20 + -8x = -3(2x + 3)

Reorder the terms:
20 + -8x = -3(3 + 2x)
20 + -8x = (3 * -3 + 2x * -3)
20 + -8x = (-9 + -6x)

Solving
20 + -8x = -9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
20 + -8x + 6x = -9 + -6x + 6x

Combine like terms: -8x + 6x = -2x
20 + -2x = -9 + -6x + 6x

Combine like terms: -6x + 6x = 0
20 + -2x = -9 + 0
20 + -2x = -9

Add '-20' to each side of the equation.
20 + -20 + -2x = -9 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -9 + -20
-2x = -9 + -20

Combine like terms: -9 + -20 = -29
-2x = -29

Divide each side by '-2'.
x = 14.5

Simplifying
x = 14.5

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