5x-3=8x+2

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


Simplifying
5x + -3 = 8x + 2

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

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

Solving
-3 + 5x = 2 + 8x

Solving for variable 'x'.

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

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

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

Combine like terms: 8x + -8x = 0
-3 + -3x = 2 + 0
-3 + -3x = 2

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

Combine like terms: -3 + 3 = 0
0 + -3x = 2 + 3
-3x = 2 + 3

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

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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