.5(x-3)+(1.5-x)=5x

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Solution for .5(x-3)+(1.5-x)=5x equation:


Simplifying
0.5(x + -3) + (1.5 + -1x) = 5x

Reorder the terms:
0.5(-3 + x) + (1.5 + -1x) = 5x
(-3 * 0.5 + x * 0.5) + (1.5 + -1x) = 5x
(-1.5 + 0.5x) + (1.5 + -1x) = 5x

Remove parenthesis around (1.5 + -1x)
-1.5 + 0.5x + 1.5 + -1x = 5x

Reorder the terms:
-1.5 + 1.5 + 0.5x + -1x = 5x

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.5x + -1x = 5x
0.5x + -1x = 5x

Combine like terms: 0.5x + -1x = -0.5x
-0.5x = 5x

Solving
-0.5x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-0.5x + -5x = 5x + -5x

Combine like terms: -0.5x + -5x = -5.5x
-5.5x = 5x + -5x

Combine like terms: 5x + -5x = 0
-5.5x = 0

Divide each side by '-5.5'.
x = 0

Simplifying
x = 0

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