Solve Linear Equation: 74-6x+3=8x+5x-18 for Parameter X

Find the value of the parameter X

746x+3=8x+5x18 74-6x+3=8x+5x-18

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:04 Collect like terms
00:16 Arrange the equation so that one side has only the unknown X
01:06 Isolate X
01:17 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Find the value of the parameter X

746x+3=8x+5x18 74-6x+3=8x+5x-18

2

Step-by-step solution

To solve for x x in the equation 746x+3=8x+5x18 74 - 6x + 3 = 8x + 5x - 18 , follow these steps:

  • Step 1: Simplify both sides of the equation.

On the left side:

746x+3=776x 74 - 6x + 3 = 77 - 6x (Combining the constants)

On the right side:

8x+5x18=13x18 8x + 5x - 18 = 13x - 18 (Combining the x x terms)

  • Step 2: Set the simplified expressions equal.

776x=13x18 77 - 6x = 13x - 18

  • Step 3: Rearrange the equation to isolate terms with x x .

Adding 6x 6x to both sides:

77=13x+6x18 77 = 13x + 6x - 18

77=19x18 77 = 19x - 18 (Combining the x x terms)

  • Step 4: Solve for x x .

Adding 18 to both sides to get rid of the constant on the right:

77+18=19x 77 + 18 = 19x

95=19x 95 = 19x

Dividing both sides by 19 to solve for x x :

x=9519=5 x = \frac{95}{19} = 5

Thus, the solution to the equation is x=5 x = 5 .

3

Final Answer

5 5

Practice Quiz

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Solve for X:

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

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