Solve (a+3a)(5+2)=112: Find the Value of Variable a

(a+3a)×(5+2)=112 (a+3a)\times(5+2)=112

Calculate a a

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find A
00:03 Make sure to open parentheses properly
00:07 Each term in parentheses multiplies each term in the second parentheses
00:27 Solve each multiplication and then add
00:43 Solve one addition operation at a time
01:02 Isolate A
01:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(a+3a)×(5+2)=112 (a+3a)\times(5+2)=112

Calculate a a

2

Step-by-step solution

We begin by solving the two exercises inside of the parentheses:

4a×7=112 4a\times7=112

We then divide each of the sections by 4:

4a×74=1124 \frac{4a\times7}{4}=\frac{112}{4}

In the fraction on the left side we simplify by 4 and in the fraction on the right side we divide by 4:

a×7=28 a\times7=28

Remember that:

a×7=a7 a\times7=a7

Lastly we divide both sections by 7:

a77=287 \frac{a7}{7}=\frac{28}{7}

a=4 a=4

3

Final Answer

4

Practice Quiz

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Solve for X:

\( x - 3 + 5 = 8 - 2 \)

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