x-3=.5(4x-12)

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Solution for x-3=.5(4x-12) equation:


Simplifying
x + -3 = 0.5(4x + -12)

Reorder the terms:
-3 + x = 0.5(4x + -12)

Reorder the terms:
-3 + x = 0.5(-12 + 4x)
-3 + x = (-12 * 0.5 + 4x * 0.5)
-3 + x = (-6 + 2x)

Solving
-3 + x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + x + -2x = -6 + 2x + -2x

Combine like terms: x + -2x = -1x
-3 + -1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -1x = -6 + 0
-3 + -1x = -6

Add '3' to each side of the equation.
-3 + 3 + -1x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -6 + 3
-1x = -6 + 3

Combine like terms: -6 + 3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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