0.5(3x-1)-5=2.5

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Solution for 0.5(3x-1)-5=2.5 equation: 


Simplifying
0.5(3x + -1) + -5 = 2.5

Reorder the terms:
0.5(-1 + 3x) + -5 = 2.5
(-1 * 0.5 + 3x * 0.5) + -5 = 2.5
(-0.5 + 1.5x) + -5 = 2.5

Reorder the terms:
-0.5 + -5 + 1.5x = 2.5

Combine like terms: -0.5 + -5 = -5.5
-5.5 + 1.5x = 2.5

Solving
-5.5 + 1.5x = 2.5

Solving for variable 'x'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 1.5x = 2.5 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 1.5x = 2.5 + 5.5
1.5x = 2.5 + 5.5

Combine like terms: 2.5 + 5.5 = 8
1.5x = 8

Divide each side by '1.5'.
x = 5.333333333

Simplifying
x = 5.333333333

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