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

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


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

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

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

Combine like terms: 2x + -3x = -1x
15 + -1x = 3x + -8

Reorder the terms:
15 + -1x = -8 + 3x

Solving
15 + -1x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -1x + -3x = -8 + 3x + -3x

Combine like terms: -1x + -3x = -4x
15 + -4x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -4x = -8 + 0
15 + -4x = -8

Add '-15' to each side of the equation.
15 + -15 + -4x = -8 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -8 + -15
-4x = -8 + -15

Combine like terms: -8 + -15 = -23
-4x = -23

Divide each side by '-4'.
x = 5.75

Simplifying
x = 5.75

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