0.5(5q+8)=4q-5

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Solution for 0.5(5q+8)=4q-5 equation:


Simplifying
0.5(5q + 8) = 4q + -5

Reorder the terms:
0.5(8 + 5q) = 4q + -5
(8 * 0.5 + 5q * 0.5) = 4q + -5
(4 + 2.5q) = 4q + -5

Reorder the terms:
4 + 2.5q = -5 + 4q

Solving
4 + 2.5q = -5 + 4q

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
4 + 2.5q + -4q = -5 + 4q + -4q

Combine like terms: 2.5q + -4q = -1.5q
4 + -1.5q = -5 + 4q + -4q

Combine like terms: 4q + -4q = 0
4 + -1.5q = -5 + 0
4 + -1.5q = -5

Add '-4' to each side of the equation.
4 + -4 + -1.5q = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -1.5q = -5 + -4
-1.5q = -5 + -4

Combine like terms: -5 + -4 = -9
-1.5q = -9

Divide each side by '-1.5'.
q = 6

Simplifying
q = 6

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