Question

Solve the equation if possible. $$ -12 q+4=8 q-6 $$

Short answer

The solution to the equation is \( q=0.2 \)

Step-by-step solution

Isolate 'q' terms

Start by arranging all terms containing 'q' on one side and constants on the other side of the equality. Add \(12q\) on both sides and also add 6 to remove the -6 on the right side: \[ -12q+12q+4=8q+12q-6+6 \]

Simplification

Simplify the equation by performing the arithmetic operations: \[4=20q. \]

Solve for 'q'

Now, solve for 'q' by dividing each side of the equation by the coefficient of 'q', 20: \[ q=4/20 \]

Further Simplification

Simplify the value of 'q' by reducing the fraction to its lowest terms: \[ q=0.2 \]