3(x-1)=2+0.5x

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Solution for 3(x-1)=2+0.5x equation:


Simplifying
3(x + -1) = 2 + 0.5x

Reorder the terms:
3(-1 + x) = 2 + 0.5x
(-1 * 3 + x * 3) = 2 + 0.5x
(-3 + 3x) = 2 + 0.5x

Solving
-3 + 3x = 2 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-3 + 3x + -0.5x = 2 + 0.5x + -0.5x

Combine like terms: 3x + -0.5x = 2.5x
-3 + 2.5x = 2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-3 + 2.5x = 2 + 0.0
-3 + 2.5x = 2

Add '3' to each side of the equation.
-3 + 3 + 2.5x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 2.5x = 2 + 3
2.5x = 2 + 3

Combine like terms: 2 + 3 = 5
2.5x = 5

Divide each side by '2.5'.
x = 2

Simplifying
x = 2

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