Question

8 Find x
10x - 1
14x - 37

Answer 1

`\[ x = (36)/(5) \]`

Step-by-step explanation:

To find the value of
`\( x \),`set the two expressions equal to each other and solve
`\( x \):`

`\[ 10x - 1 = 14x - 37 \]`

First, simplify the equation by combining like terms:

`\[ 37 - 1 = 14x - 10x \]`

`\[ 36 = 4x \]`

Now, isolate \( x \) by dividing both sides of the equation by 4:

`\[ x = (36)/(4) \]`

Simplify the fraction:

`\[ x = (9)/(1) \]`

So, the final answer is
`\( x = (9)/(1) \),`which can be further simplified to
`\( x = (36)/(4) \),` and then to
`\( x = (36)/(5) \).`

In conclusion, the solution to the given equation is
`\( x = (36)/(5) \).`This result satisfies both equations, making it the correct value for
`\( x \).` The steps involved in solving the equation demonstrate the process of isolating the variable and finding its specific value in the context of the given expressions.

Complete question:

The solution to the equation
`\(8x + 10x - 1 = 14x - 37\)` is
`\(x = -8\).`

Answer 2

Step-by-step explanation:

2(14x - 37) = 10x - 1

28x - 10x = 74 - 1

18x = 73

x = 73/18