For this case we must propose an algebraic expression associated with:
"four times a difference of a number and seven is 12"
So we have to:
Four times a difference of a number and seven is represented as: 
So we have the expression is:

We apply distributive property to the terms within parentheses:

We add 28 to both sides:

We divide between 4 on both sides:

Answer:

Answer:
x=−5
Step-by-step explanation:
Step 1: Subtract 5x from both sides.
−4x+10−5x=5x+55−5x
−9x+10=55
Step 2: Subtract 10 from both sides.
−9x+10−10=55−10
−9x=45
Step 3: Divide both sides by -9.
−9x
−9
=
45
−9
x=−5
Answer:
x=−5
Answer:
x=16
y=-6
Step-by-step explanation:
Answer:
-17.85
Step-by-step explanation:
=> y-x+z
Putting y = 4, x = 22 and z = 0.15
=> 4-22+0.15
=> -18+0.15
=> -17.85
Answer:
y=11
Step-by-step explanation:
To isolate the variable, y, you need to divide by 13 on both sides. 13y/13 cancels out, so you are left with 143/13. 143 ÷ 13 is 11, so y = 11.
To Check your answer:
Substitute y for 11. Your equation will be 143 = 13 x 11. Does 13 x 11 = 143? Yes.