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

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


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

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

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

Remove parenthesis around (0.5 + x)
1.5 + 3x = 0.5 + x + 3x + -2

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

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

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

Solving
1.5 + 3x = -1.5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1.5 + 3x + -4x = -1.5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
1.5 + -1x = -1.5 + 4x + -4x

Combine like terms: 4x + -4x = 0
1.5 + -1x = -1.5 + 0
1.5 + -1x = -1.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -1x = -1.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1x = -1.5 + -1.5
-1x = -1.5 + -1.5

Combine like terms: -1.5 + -1.5 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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