.5(2x-4)=3(x+1)

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Solution for .5(2x-4)=3(x+1) equation:


Simplifying
0.5(2x + -4) = 3(x + 1)

Reorder the terms:
0.5(-4 + 2x) = 3(x + 1)
(-4 * 0.5 + 2x * 0.5) = 3(x + 1)
(-2 + 1x) = 3(x + 1)

Reorder the terms:
-2 + 1x = 3(1 + x)
-2 + 1x = (1 * 3 + x * 3)
-2 + 1x = (3 + 3x)

Solving
-2 + 1x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 1x + -3x = 3 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-2 + -2x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -2x = 3 + 0
-2 + -2x = 3

Add '2' to each side of the equation.
-2 + 2 + -2x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = 3 + 2
-2x = 3 + 2

Combine like terms: 3 + 2 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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