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

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Solution for .50(x-4)=3(x+2) equation:


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

Reorder the terms:
0.50(-4 + x) = 3(x + 2)
(-4 * 0.50 + x * 0.50) = 3(x + 2)
(-2 + 0.50x) = 3(x + 2)

Reorder the terms:
-2 + 0.50x = 3(2 + x)
-2 + 0.50x = (2 * 3 + x * 3)
-2 + 0.50x = (6 + 3x)

Solving
-2 + 0.50x = 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.
-2 + 0.50x + -3x = 6 + 3x + -3x

Combine like terms: 0.50x + -3x = -2.5x
-2 + -2.5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -2.5x = 6 + 0
-2 + -2.5x = 6

Add '2' to each side of the equation.
-2 + 2 + -2.5x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -2.5x = 6 + 2
-2.5x = 6 + 2

Combine like terms: 6 + 2 = 8
-2.5x = 8

Divide each side by '-2.5'.
x = -3.2

Simplifying
x = -3.2

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