x+0.5=3x-2

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Solution for x+0.5=3x-2 equation:


Simplifying
x + 0.5 = 3x + -2

Reorder the terms:
0.5 + x = 3x + -2

Reorder the terms:
0.5 + x = -2 + 3x

Solving
0.5 + x = -2 + 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.
0.5 + x + -3x = -2 + 3x + -3x

Combine like terms: x + -3x = -2x
0.5 + -2x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.5 + -2x = -2 + 0
0.5 + -2x = -2

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -2x = -2 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -2x = -2 + -0.5
-2x = -2 + -0.5

Combine like terms: -2 + -0.5 = -2.5
-2x = -2.5

Divide each side by '-2'.
x = 1.25

Simplifying
x = 1.25

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