3x-2=8-5x

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


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

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

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

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 3x + 5x = 8 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
-2 + 8x = 8 + 0
-2 + 8x = 8

Add '2' to each side of the equation.
-2 + 2 + 8x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 8 + 2
8x = 8 + 2

Combine like terms: 8 + 2 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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