Solve the Linear Equation: Finding X in 5x-8=10x+22

Solve for X:

5x8=10x+22 5x-8=10x+22

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 We want to isolate the unknown X
00:22 Let's reduce what we can
00:28 Let's group terms
00:35 Continue to isolate the unknown X
00:54 Group terms, and continue to isolate the unknown X
01:16 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

Solve for X:

5x8=10x+22 5x-8=10x+22

2

Step-by-step solution

First, we arrange the two sections so that the right side contains the values with the coefficient x and the left side the numbers without the x

Let's remember to maintain the plus and minus signs accordingly when we move terms between the sections.

First, we move a5x 5x to the right section and then the 22 to the left side. We obtain the following equation:

822=10x5x -8-22=10x-5x

We subtract both sides accordingly and obtain the following equation:

30=5x -30=5x

We divide both sections by 5 and obtain:

6=x -6=x

3

Final Answer

6 -6

Practice Quiz

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\( x+7=14 \)

\( x=\text{?} \)

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