.5(4x-6)-x=4(x+3)

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Solution for .5(4x-6)-x=4(x+3) equation:


Simplifying
0.5(4x + -6) + -1x = 4(x + 3)

Reorder the terms:
0.5(-6 + 4x) + -1x = 4(x + 3)
(-6 * 0.5 + 4x * 0.5) + -1x = 4(x + 3)
(-3 + 2x) + -1x = 4(x + 3)

Combine like terms: 2x + -1x = 1x
-3 + 1x = 4(x + 3)

Reorder the terms:
-3 + 1x = 4(3 + x)
-3 + 1x = (3 * 4 + x * 4)
-3 + 1x = (12 + 4x)

Solving
-3 + 1x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 1x + -4x = 12 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-3 + -3x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -3x = 12 + 0
-3 + -3x = 12

Add '3' to each side of the equation.
-3 + 3 + -3x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = 12 + 3
-3x = 12 + 3

Combine like terms: 12 + 3 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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