.5x-3=1.5x+4

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Solution for .5x-3=1.5x+4 equation:


Simplifying
0.5x + -3 = 1.5x + 4

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

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

Solving
-3 + 0.5x = 4 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-3 + 0.5x + -1.5x = 4 + 1.5x + -1.5x

Combine like terms: 0.5x + -1.5x = -1x
-3 + -1x = 4 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-3 + -1x = 4 + 0.0
-3 + -1x = 4

Add '3' to each side of the equation.
-3 + 3 + -1x = 4 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 4 + 3
-1x = 4 + 3

Combine like terms: 4 + 3 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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