.5(x-4)=2.5x+6-4x

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Solution for .5(x-4)=2.5x+6-4x equation:


Simplifying
0.5(x + -4) = 2.5x + 6 + -4x

Reorder the terms:
0.5(-4 + x) = 2.5x + 6 + -4x
(-4 * 0.5 + x * 0.5) = 2.5x + 6 + -4x
(-2 + 0.5x) = 2.5x + 6 + -4x

Reorder the terms:
-2 + 0.5x = 6 + 2.5x + -4x

Combine like terms: 2.5x + -4x = -1.5x
-2 + 0.5x = 6 + -1.5x

Solving
-2 + 0.5x = 6 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
-2 + 0.5x + 1.5x = 6 + -1.5x + 1.5x

Combine like terms: 0.5x + 1.5x = 2x
-2 + 2x = 6 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
-2 + 2x = 6 + 0.0
-2 + 2x = 6

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

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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