3x-4=2x-5x+8

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Solution for 3x-4=2x-5x+8 equation:


Simplifying
3x + -4 = 2x + -5x + 8

Reorder the terms:
-4 + 3x = 2x + -5x + 8

Reorder the terms:
-4 + 3x = 8 + 2x + -5x

Combine like terms: 2x + -5x = -3x
-4 + 3x = 8 + -3x

Solving
-4 + 3x = 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.
-4 + 3x + 3x = 8 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-4 + 6x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 6x = 8 + 0
-4 + 6x = 8

Add '4' to each side of the equation.
-4 + 4 + 6x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 8 + 4
6x = 8 + 4

Combine like terms: 8 + 4 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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