0.5(x+3)=x+2

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


Simplifying
0.5(x + 3) = x + 2

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

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

Solving
1.5 + 0.5x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1.5 + 0.5x + -1x = 2 + x + -1x

Combine like terms: 0.5x + -1x = -0.5x
1.5 + -0.5x = 2 + x + -1x

Combine like terms: x + -1x = 0
1.5 + -0.5x = 2 + 0
1.5 + -0.5x = 2

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.5x = 2 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.5x = 2 + -1.5
-0.5x = 2 + -1.5

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

Divide each side by '-0.5'.
x = -1

Simplifying
x = -1

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