1. Multiply each term in the parenthesis by -4, 3
−4(−3x+5)−3x=3(x−4)−6
2. Calculate the product
Multiplying two negatives equals a positive: (-)*(-)=(+)
Use rules of multiplication to calculate the expression
−4×(−3x)−4×5−3x=3x−12−6
3. Collect the like terms by subtracting their coefficients
Extract the negative sign from the expression
12x−20−3x=−3x=3x−12−6
4. Subtract the numbers
Add the numbers
(12−3)x−20=3x−(12+6)
5. Move variable to the left by adding its opposite to both sides
Move constant to the right by adding its opposite to both sides
9x−20=3x−18
6. Eliminate the opposites
9x−3x−20+20=3x−3x−18+20
7. Collect the like terms by subtracting their coefficients
Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger
9x−3x=−18+20
8. Subtract the numbers
(9−3)x=+(20−18)
9. Divide both sides of the equation by 6
6x=2
10. Any expression divided by itself equals 1
Write the division as a fraction
6x÷6=2÷6
11. Reduce the fraction with 2
x=26
Answer
x=13
Alternative form
x=≈0.333333
And there goes 30 minutes of my life...