.25(x+3)=.5(x+2)

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Solution for .25(x+3)=.5(x+2) equation: 


Simplifying
0.25(x + 3) = 0.5(x + 2)

Reorder the terms:
0.25(3 + x) = 0.5(x + 2)
(3 * 0.25 + x * 0.25) = 0.5(x + 2)
(0.75 + 0.25x) = 0.5(x + 2)

Reorder the terms:
0.75 + 0.25x = 0.5(2 + x)
0.75 + 0.25x = (2 * 0.5 + x * 0.5)
0.75 + 0.25x = (1 + 0.5x)

Solving
0.75 + 0.25x = 1 + 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.
0.75 + 0.25x + -0.5x = 1 + 0.5x + -0.5x

Combine like terms: 0.25x + -0.5x = -0.25x
0.75 + -0.25x = 1 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
0.75 + -0.25x = 1 + 0.0
0.75 + -0.25x = 1

Add '-0.75' to each side of the equation.
0.75 + -0.75 + -0.25x = 1 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25x = 1 + -0.75
-0.25x = 1 + -0.75

Combine like terms: 1 + -0.75 = 0.25
-0.25x = 0.25

Divide each side by '-0.25'.
x = -1

Simplifying
x = -1

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