Question

Solve for x: three fourths times x plus five fourths equals four times x

Answer 1

Answer:

The value of x for the given expression is $\dfrac{5}{13}$

Step-by-step explanation:

Given as :

The statement is , three fourths times x plus five fourths equals four times x

So, $\dfrac{3}{4}$ × x + $\dfrac{5}{4}$ = 4 × x

Now, rearranging the equation

i.e 4 x -  $\dfrac{3}{4}$ × x = $\dfrac{5}{4}$

Or, 4 x -  $\dfrac{3 x}{4}$  = $\dfrac{5}{4}$

Or, $\dfrac{16 x - 3 x}{4}$  = $\dfrac{5}{4}$

Or, $\dfrac{13 x}{4}$  = $\dfrac{5}{4}$

Or, 13 x = $\dfrac{5}{4}$ × 4

Or, 13 x = 5

∴ x = $\dfrac{5}{13}$

Hence, The value of x for the given expression is $\dfrac{5}{13}$ Answer