3(q-2)+2=5q+-7+2q

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Solution for 3(q-2)+2=5q+-7+2q equation:


Simplifying
3(q + -2) + 2 = 5q + -7 + 2q

Reorder the terms:
3(-2 + q) + 2 = 5q + -7 + 2q
(-2 * 3 + q * 3) + 2 = 5q + -7 + 2q
(-6 + 3q) + 2 = 5q + -7 + 2q

Reorder the terms:
-6 + 2 + 3q = 5q + -7 + 2q

Combine like terms: -6 + 2 = -4
-4 + 3q = 5q + -7 + 2q

Reorder the terms:
-4 + 3q = -7 + 5q + 2q

Combine like terms: 5q + 2q = 7q
-4 + 3q = -7 + 7q

Solving
-4 + 3q = -7 + 7q

Solving for variable 'q'.

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

Add '-7q' to each side of the equation.
-4 + 3q + -7q = -7 + 7q + -7q

Combine like terms: 3q + -7q = -4q
-4 + -4q = -7 + 7q + -7q

Combine like terms: 7q + -7q = 0
-4 + -4q = -7 + 0
-4 + -4q = -7

Add '4' to each side of the equation.
-4 + 4 + -4q = -7 + 4

Combine like terms: -4 + 4 = 0
0 + -4q = -7 + 4
-4q = -7 + 4

Combine like terms: -7 + 4 = -3
-4q = -3

Divide each side by '-4'.
q = 0.75

Simplifying
q = 0.75

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