Answer:
x = ⁻¹⁷⁄₆ or -2.83333333333
Step-by-step explanation:
3x · 4 = 7x - (x + 17)
Simplify both sides of the equation
3x (4) = 7x − (x + 17)
3x (4) = 7x + −1 (x + 17) (Distribute the Negative Sign)
3x (4) = 7x + −1x + (−1) (17)
3x (4) = 7x + −x + −17
12x = 7x + −x + −17
12x = (7x + −x) + (−17) (Combine Like Terms)
12x = 6x + −17
12x = 6x − 17
Subtract 6x from both sides
12x − 6x = 6x − 17 − 6x
6x = −17
Divide both sides by 6
6x / 6 = −17 / 6
Simplify
x = ⁻¹⁷⁄₆
Turn the fraction into a decimal
-17 ÷ 6 = -2.83333333333
- x = ⁻¹⁷⁄₆ or -2.83333333333