.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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