.25(4+x)=.50(4)+.50x

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Solution for .25(4+x)=.50(4)+.50x equation: 


Simplifying
0.25(4 + x) = 0.50(4) + 0.50x
(4 * 0.25 + x * 0.25) = 0.50(4) + 0.50x
(1 + 0.25x) = 0.50(4) + 0.50x

Multiply 0.50 * 4
1 + 0.25x = 2 + 0.50x

Solving
1 + 0.25x = 2 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
1 + 0.25x + -0.50x = 2 + 0.50x + -0.50x

Combine like terms: 0.25x + -0.50x = -0.25x
1 + -0.25x = 2 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
1 + -0.25x = 2 + 0.00
1 + -0.25x = 2

Add '-1' to each side of the equation.
1 + -1 + -0.25x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25x = 2 + -1
-0.25x = 2 + -1

Combine like terms: 2 + -1 = 1
-0.25x = 1

Divide each side by '-0.25'.
x = -4

Simplifying
x = -4

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