Question

how do I solve this question 2x/3+1=7x/15+3(its 2x by 3 and 7x by 15)

Answer 1

Answer:

$\left(2\cdot \dfrac{x}{3}\right)+1=\left(7\cdot \dfrac{x}{15}\right)+3\quad :\quad x=10$

Step-by-step explanation:

$\left(2\cdot \dfrac{x}{3}\right)+1=\left(7\cdot \dfrac{x}{15}\right)+3$

$\gray{\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}}$

$2\cdot \dfrac{x}{3}+1-1=7\cdot \dfrac{x}{15}+3-1$

$\gray{\mathrm{Simplify}}$

$2\cdot \dfrac{x}{3}=\dfrac{7x}{15}+2$

$\gray{\mathrm{Subtract\:}\dfrac{7x}{15}\mathrm{\:from\:both\:sides}}$

$2\cdot \dfrac{x}{3}-\dfrac{7x}{15}=\dfrac{7x}{15}+2-\dfrac{7x}{15}$

$\gray{\mathrm{Simplify}}$

$\dfrac{x}{5}=2$

$\gray{\mathrm{Multiply\:both\:sides\:by\:}5}$

$\dfrac{5x}{5}=2\cdot \:5$

$\gray{\mathrm{Simplify}}$

$x=10$