0.5(1+x)=0.75x-5

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Solution for 0.5(1+x)=0.75x-5 equation: 


Simplifying
0.5(1 + x) = 0.75x + -5
(1 * 0.5 + x * 0.5) = 0.75x + -5
(0.5 + 0.5x) = 0.75x + -5

Reorder the terms:
0.5 + 0.5x = -5 + 0.75x

Solving
0.5 + 0.5x = -5 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
0.5 + 0.5x + -0.75x = -5 + 0.75x + -0.75x

Combine like terms: 0.5x + -0.75x = -0.25x
0.5 + -0.25x = -5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
0.5 + -0.25x = -5 + 0.00
0.5 + -0.25x = -5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.25x = -5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25x = -5 + -0.5
-0.25x = -5 + -0.5

Combine like terms: -5 + -0.5 = -5.5
-0.25x = -5.5

Divide each side by '-0.25'.
x = 22

Simplifying
x = 22

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