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

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


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

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

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

Solving
-4 + 0.5x = 6 + 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.
-4 + 0.5x + -3x = 6 + 3x + -3x

Combine like terms: 0.5x + -3x = -2.5x
-4 + -2.5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -2.5x = 6 + 0
-4 + -2.5x = 6

Add '4' to each side of the equation.
-4 + 4 + -2.5x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -2.5x = 6 + 4
-2.5x = 6 + 4

Combine like terms: 6 + 4 = 10
-2.5x = 10

Divide each side by '-2.5'.
x = -4

Simplifying
x = -4

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