(2q-3)-(q-4)=18

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Solution for (2q-3)-(q-4)=18 equation:


Simplifying
(2q + -3) + -1(q + -4) = 18

Reorder the terms:
(-3 + 2q) + -1(q + -4) = 18

Remove parenthesis around (-3 + 2q)
-3 + 2q + -1(q + -4) = 18

Reorder the terms:
-3 + 2q + -1(-4 + q) = 18
-3 + 2q + (-4 * -1 + q * -1) = 18
-3 + 2q + (4 + -1q) = 18

Reorder the terms:
-3 + 4 + 2q + -1q = 18

Combine like terms: -3 + 4 = 1
1 + 2q + -1q = 18

Combine like terms: 2q + -1q = 1q
1 + 1q = 18

Solving
1 + 1q = 18

Solving for variable 'q'.

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

Add '-1' to each side of the equation.
1 + -1 + 1q = 18 + -1

Combine like terms: 1 + -1 = 0
0 + 1q = 18 + -1
1q = 18 + -1

Combine like terms: 18 + -1 = 17
1q = 17

Divide each side by '1'.
q = 17

Simplifying
q = 17

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