5.8q-2.6-5.3q=-0.5q-5.1

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Solution for 5.8q-2.6-5.3q=-0.5q-5.1 equation:


Simplifying
5.8q + -2.6 + -5.3q = -0.5q + -5.1

Reorder the terms:
-2.6 + 5.8q + -5.3q = -0.5q + -5.1

Combine like terms: 5.8q + -5.3q = 0.5q
-2.6 + 0.5q = -0.5q + -5.1

Reorder the terms:
-2.6 + 0.5q = -5.1 + -0.5q

Solving
-2.6 + 0.5q = -5.1 + -0.5q

Solving for variable 'q'.

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

Add '0.5q' to each side of the equation.
-2.6 + 0.5q + 0.5q = -5.1 + -0.5q + 0.5q

Combine like terms: 0.5q + 0.5q = 1q
-2.6 + 1q = -5.1 + -0.5q + 0.5q

Combine like terms: -0.5q + 0.5q = 0.0
-2.6 + 1q = -5.1 + 0.0
-2.6 + 1q = -5.1

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 1q = -5.1 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 1q = -5.1 + 2.6
1q = -5.1 + 2.6

Combine like terms: -5.1 + 2.6 = -2.5
1q = -2.5

Divide each side by '1'.
q = -2.5

Simplifying
q = -2.5

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