Solve the question 7(X+1)=3(X+2)

1.	Solve the question 7(X+1)=3(X+2)
Answer» ANSWER: $7\left(X+1\right)=3\left(X+2\right)\quad :\quad X=-\dfrac{1}{4}\quad \left(\mathrm{Decimal}:\quad X=-0.25\right)$ Step-by-step EXPLANATION: $7\left(X+1\right)=3\left(X+2\right)$ $\gray{\mathrm{Expand\:}7\left(X+1\right):\quad 7X+7}$ $\gray{\mathrm{Expand\:}3\left(X+2\right):\quad 3X+6}$ $7X+7=3X+6$ $\gray{\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}}$ $7X+7-7=3X+6-7$ $\gray{\mathrm{Simplify}}$ $7X=3X-1$ $\gray{\mathrm{Subtract\:}3X\mathrm{\:from\:both\:sides}}$ $7X-3X=3X-1-3X$ $\gray{\mathrm{Simplify}}$ $4X=-1$ $\gray{\mathrm{Divide\:both\:sides\:by\:}4}$ $\dfrac{4X}{4}=\dfrac{-1}{4}$ $\gray{\mathrm{Simplify}}$ $X=-\dfrac{1}{4}$

Answer»

$7\left(X+1\right)=3\left(X+2\right)\quad :\quad X=-\dfrac{1}{4}\quad \left(\mathrm{Decimal}:\quad X=-0.25\right)$