
Explanation:
6(2x + 5) = 2(3x – 2)
[given]
6(2x) + 6(5) = 2(3x) + 2(-2)
12x + 30 = 6x – 4
[distributive property of equality; individually multiply each addend inside the parenthesis and simplify (distribute the terms) ]
12x + 30 = 6x – 4
–6x –6x
6x + 30 = -4
[subtraction property of equality; subtract both sides by 6x in order to keep the x term on the left side]
6x + 30 = -4
–30 –30
6x = -34
[subtraction property of equality; subtract both sides by 30 in order to keep the constant term on the right side]
6x = -34
÷6 ÷6
x = -34/6
[division property of equality; divide both sides by 6 to eliminate the coefficient of 6 in 6x in order to obtain the variable x]
x = -17/3
[GCF(greatest common factor); divide both sides by the greatest common factor until both numbers are prime (only divisible by 1 and itself]
Answer:
the first equation
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
Note that when x < 6, you will use the expression -4x
f(x) = -4x
Plug in 3 for x
f(3) = -4(3)
Simplify. Multiply
f(3) = -4(3)
f(3) = -12
-12 is your answer
Answer:
79
Step-by-step explanation:
(237)(1/3) = 79