Question

Enter the value of x that makes the given equation true 3(5 - x) = 7x - 2

Answer 1

The exact form is 17/10, decimal form is 1.7, and mixed number form is 1 7/10

Answer 2

Answer:

$\boxed {x = \frac{17}{10}}$

Step-by-step explanation:

Solve for the value of $x$:

$3(5 - x) = 7x - 2$

-Use Distributive Property:

$3(5 - x) = 7x - 2$

$15 - 3x = 7x - 2$

-Take $7x$ and subtract it from $-3x$:

$15 - 3x - 7x = 7x - 7x - 2$

$15 - 10x = -2$

-Subtract $15$ to both sides:

$15 - 15 - 10x = -2 - 15$

$-10x = -17$

-Divide bot sides by $-10$:

$\frac{-10x}{-10} = \frac{-17}{-10}$

$\boxed {x = \frac{17}{10}}$

So, the value of $x$ is $\frac{17}{10}$.