-1.75(q+5)=3(q+2.5)

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Solution for -1.75(q+5)=3(q+2.5) equation: 


Simplifying
-1.75(q + 5) = 3(q + 2.5)

Reorder the terms:
-1.75(5 + q) = 3(q + 2.5)
(5 * -1.75 + q * -1.75) = 3(q + 2.5)
(-8.75 + -1.75q) = 3(q + 2.5)

Reorder the terms:
-8.75 + -1.75q = 3(2.5 + q)
-8.75 + -1.75q = (2.5 * 3 + q * 3)
-8.75 + -1.75q = (7.5 + 3q)

Solving
-8.75 + -1.75q = 7.5 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
-8.75 + -1.75q + -3q = 7.5 + 3q + -3q

Combine like terms: -1.75q + -3q = -4.75q
-8.75 + -4.75q = 7.5 + 3q + -3q

Combine like terms: 3q + -3q = 0
-8.75 + -4.75q = 7.5 + 0
-8.75 + -4.75q = 7.5

Add '8.75' to each side of the equation.
-8.75 + 8.75 + -4.75q = 7.5 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + -4.75q = 7.5 + 8.75
-4.75q = 7.5 + 8.75

Combine like terms: 7.5 + 8.75 = 16.25
-4.75q = 16.25

Divide each side by '-4.75'.
q = -3.421052632

Simplifying
q = -3.421052632

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