.5(x-32)=11+5x

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Solution for .5(x-32)=11+5x equation:


Simplifying
0.5(x + -32) = 11 + 5x

Reorder the terms:
0.5(-32 + x) = 11 + 5x
(-32 * 0.5 + x * 0.5) = 11 + 5x
(-16 + 0.5x) = 11 + 5x

Solving
-16 + 0.5x = 11 + 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.
-16 + 0.5x + -5x = 11 + 5x + -5x

Combine like terms: 0.5x + -5x = -4.5x
-16 + -4.5x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -4.5x = 11 + 0
-16 + -4.5x = 11

Add '16' to each side of the equation.
-16 + 16 + -4.5x = 11 + 16

Combine like terms: -16 + 16 = 0
0 + -4.5x = 11 + 16
-4.5x = 11 + 16

Combine like terms: 11 + 16 = 27
-4.5x = 27

Divide each side by '-4.5'.
x = -6

Simplifying
x = -6

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