7.5+0.5x=3x+1.5

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Solution for 7.5+0.5x=3x+1.5 equation: 


Simplifying
7.5 + 0.5x = 3x + 1.5

Reorder the terms:
7.5 + 0.5x = 1.5 + 3x

Solving
7.5 + 0.5x = 1.5 + 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.
7.5 + 0.5x + -3x = 1.5 + 3x + -3x

Combine like terms: 0.5x + -3x = -2.5x
7.5 + -2.5x = 1.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
7.5 + -2.5x = 1.5 + 0
7.5 + -2.5x = 1.5

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -2.5x = 1.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -2.5x = 1.5 + -7.5
-2.5x = 1.5 + -7.5

Combine like terms: 1.5 + -7.5 = -6
-2.5x = -6

Divide each side by '-2.5'.
x = 2.4

Simplifying
x = 2.4

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