.5x+3=3x-1

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Solution for .5x+3=3x-1 equation:


Simplifying
0.5x + 3 = 3x + -1

Reorder the terms:
3 + 0.5x = 3x + -1

Reorder the terms:
3 + 0.5x = -1 + 3x

Solving
3 + 0.5x = -1 + 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.
3 + 0.5x + -3x = -1 + 3x + -3x

Combine like terms: 0.5x + -3x = -2.5x
3 + -2.5x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -2.5x = -1 + 0
3 + -2.5x = -1

Add '-3' to each side of the equation.
3 + -3 + -2.5x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -2.5x = -1 + -3
-2.5x = -1 + -3

Combine like terms: -1 + -3 = -4
-2.5x = -4

Divide each side by '-2.5'.
x = 1.6

Simplifying
x = 1.6

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