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

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


Simplifying
x + -1(2x + -5) = 3x + -8

Reorder the terms:
x + -1(-5 + 2x) = 3x + -8
x + (-5 * -1 + 2x * -1) = 3x + -8
x + (5 + -2x) = 3x + -8

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

Combine like terms: x + -2x = -1x
5 + -1x = 3x + -8

Reorder the terms:
5 + -1x = -8 + 3x

Solving
5 + -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.
5 + -1x + -3x = -8 + 3x + -3x

Combine like terms: -1x + -3x = -4x
5 + -4x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -4x = -8 + 0
5 + -4x = -8

Add '-5' to each side of the equation.
5 + -5 + -4x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -8 + -5
-4x = -8 + -5

Combine like terms: -8 + -5 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25

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