(3x-1)-(-5x+17)=0

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Solution for (3x-1)-(-5x+17)=0 equation:


Simplifying
(3x + -1) + -1(-5x + 17) = 0

Reorder the terms:
(-1 + 3x) + -1(-5x + 17) = 0

Remove parenthesis around (-1 + 3x)
-1 + 3x + -1(-5x + 17) = 0

Reorder the terms:
-1 + 3x + -1(17 + -5x) = 0
-1 + 3x + (17 * -1 + -5x * -1) = 0
-1 + 3x + (-17 + 5x) = 0

Reorder the terms:
-1 + -17 + 3x + 5x = 0

Combine like terms: -1 + -17 = -18
-18 + 3x + 5x = 0

Combine like terms: 3x + 5x = 8x
-18 + 8x = 0

Solving
-18 + 8x = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 8x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 0 + 18
8x = 0 + 18

Combine like terms: 0 + 18 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

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