0.5(x+7)+1.5(x-6)=

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Solution for 0.5(x+7)+1.5(x-6)= equation: 


Simplifying
0.5(x + 7) + 1.5(x + -6) = 0

Reorder the terms:
0.5(7 + x) + 1.5(x + -6) = 0
(7 * 0.5 + x * 0.5) + 1.5(x + -6) = 0
(3.5 + 0.5x) + 1.5(x + -6) = 0

Reorder the terms:
3.5 + 0.5x + 1.5(-6 + x) = 0
3.5 + 0.5x + (-6 * 1.5 + x * 1.5) = 0
3.5 + 0.5x + (-9 + 1.5x) = 0

Reorder the terms:
3.5 + -9 + 0.5x + 1.5x = 0

Combine like terms: 3.5 + -9 = -5.5
-5.5 + 0.5x + 1.5x = 0

Combine like terms: 0.5x + 1.5x = 2x
-5.5 + 2x = 0

Solving
-5.5 + 2x = 0

Solving for variable 'x'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + 2x = 0 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + 2x = 0 + 5.5
2x = 0 + 5.5

Combine like terms: 0 + 5.5 = 5.5
2x = 5.5

Divide each side by '2'.
x = 2.75

Simplifying
x = 2.75

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