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

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


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

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

Reorder the terms:
1 + 0.5x = 0.75(-2 + x)
1 + 0.5x = (-2 * 0.75 + x * 0.75)
1 + 0.5x = (-1.5 + 0.75x)

Solving
1 + 0.5x = -1.5 + 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.
1 + 0.5x + -0.75x = -1.5 + 0.75x + -0.75x

Combine like terms: 0.5x + -0.75x = -0.25x
1 + -0.25x = -1.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
1 + -0.25x = -1.5 + 0.00
1 + -0.25x = -1.5

Add '-1' to each side of the equation.
1 + -1 + -0.25x = -1.5 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25x = -1.5 + -1
-0.25x = -1.5 + -1

Combine like terms: -1.5 + -1 = -2.5
-0.25x = -2.5

Divide each side by '-0.25'.
x = 10

Simplifying
x = 10

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