x+0.5+3x=1.5+3x-2

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Solution for x+0.5+3x=1.5+3x-2 equation: 


Simplifying
x + 0.5 + 3x = 1.5 + 3x + -2

Reorder the terms:
0.5 + x + 3x = 1.5 + 3x + -2

Combine like terms: x + 3x = 4x
0.5 + 4x = 1.5 + 3x + -2

Reorder the terms:
0.5 + 4x = 1.5 + -2 + 3x

Combine like terms: 1.5 + -2 = -0.5
0.5 + 4x = -0.5 + 3x

Solving
0.5 + 4x = -0.5 + 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 + 4x + -3x = -0.5 + 3x + -3x

Combine like terms: 4x + -3x = 1x
0.5 + 1x = -0.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.5 + 1x = -0.5 + 0
0.5 + 1x = -0.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1x = -0.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1x = -0.5 + -0.5
1x = -0.5 + -0.5

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

Divide each side by '1'.
x = -1

Simplifying
x = -1

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