Solve Linear Equation: 5(8+a)-(2a+14)=56 Using Distribution

Solve the following equation:

5(8+a)−(2a+14)=56 5(8+a)-(2a+14)=56

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Open brackets properly, multiply by each term
00:15 Collect like terms
00:25 Arrange the equation so that only the unknown A is on one side
00:35 Isolate A
00:39 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

5(8+a)−(2a+14)=56 5(8+a)-(2a+14)=56

2

Step-by-step solution

Let's open the parentheses using the distributive property and use the formula:

a(x+b)=ax+ab a(x+b)=ax+ab

40+5a−2a−14=56 40+5a-2a-14=56

We'll substitute the terms accordingly:

26+3a=56 26+3a=56

We'll move 26 to the right side and keep the appropriate sign:

3a=56−26 3a=56-26

3a=30 3a=30

We'll divide both sides by 3:

3a3=303 \frac{3a}{3}=\frac{30}{3}

a=10 a=10

3

Final Answer

10 10

Practice Quiz

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Solve for x:

\( 2(4-x)=8 \)

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