.5(x+2)=.75x-2

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Solution for .5(x+2)=.75x-2 equation:


Simplifying
0.5(x + 2) = 0.75x + -2

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

Reorder the terms:
1 + 0.5x = -2 + 0.75x

Solving
1 + 0.5x = -2 + 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.
1 + 0.5x + -0.75x = -2 + 0.75x + -0.75x

Combine like terms: 0.5x + -0.75x = -0.25x
1 + -0.25x = -2 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 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 = -3
-0.25x = -3

Divide each side by '-0.25'.
x = 12

Simplifying
x = 12

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