Solve the equation. 7(2b – 5) + 3 = 10
Solve the equation. 7(2b – 5) + 3 = 10
3 Answers
7(2b – 5) + 3 = 10
when doing algebra always remember PEMDAS..(Please Excuse My Dear Aunt Sally) know as Parenthesis, Expontent, Multiplication, Division, Addition, Subtraction
step 1: get rid of parenthesis
Multiply 7 by each number in Parenthesis.. 14b - 35
now the problem should look like: 14b - 35 + 3 =10
Step 2: adding on the same side of the equation
isolate the problem will read as: (-35 + 3) negative plus a positive means subtract therefore the answer will be -32
now the problem will read as 14b - 32 = 10
step 3: moving tumblers to the side of the equation and changing the ssign now
-32 becomes 32
Therefore add 32 + 10 = 42
the problem reads 14b = 42
Step 4: isolate lithe letter by dividing
42/14 = 3
b = 3
7(2b-5)+3=10
7(2b-5)=10-3=7 (-3 on both sides)
2b-5=7/7=1 (divide both sides by 7)
2b=1+5=6 (+5 on both sides)
b=6/2=3 (divide both sides by 2)
b=3
Teri, I think you can do this: first multiply what's outside with parentheses with the terms inside them:
7*2b - 7*5 = 14b - 35
Now put that with the rest: 14b - 35 + 3 = 10, or
14b -32 = 10, or
14b = 10 + 32 (added 32 to both sides)
14b = 42
b = 42/14 = 3 (divide both side by 14 to get b by itself)
Comments
thank you very much
- Teri F. from Mosinee, WI 1/16/2013


Comments
7(2b - 5) + 3 = 10; or, distributing (removing parentheses), 14b - 7*5 + 3 = 10; or, 14b - 35 + 3= 10; or, 14b - 32 = 10; then add 32 to each side of the equation ---> 14b = 42; then divide each side of equation by 14 ---> b = 42/14 = 21/7 = 3;
- Herb K. 1/17/2013