Question

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

Answer 1

Answer:

x equals  five thirteenths

Step-by-step explanation:

To solve this, we will follow the steps below;

$\frac{3}{4}$ ×  x  + $\frac{5}{4}$  =  4 × x

$\frac{3x}{4}$ + $\frac{5}{4}$   = 4x

$\frac{3x + 5}{4}$ =  4x

Multiply both-side of the equation by 4

$\frac{3x + 5}{4}$ × 4=  4x × 4

On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;

3x + 5 = 16x

subtract 3x from both-side of the equation

16x - 3x = 5

13x = 5

Divide both-side of the equation by 13

$\frac{13x}{13}$ = $\frac{5}{13}$

(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)

x = $\frac{5}{13}$

x equals  five thirteenths