Question

x + (x+3) + (x+6) = 45​

Answer 1

Answer:

$\green{x+\left(x+3\right)+\left(x+6\right)=45\quad :\quad x=12}$

Step-by-step explanation:

$x+\left(x+3\right)+\left(x+6\right)=45$

$\gray{\mathrm{Remove\:parentheses}:\quad \left(a\right)=a}$

$x+x+3+x+6=45$

$\gray{\mathrm{Group\:like\:terms}}$

$x+x+x+3+6=45$

$\gray{\mathrm{Add\:similar\:elements:}\:x+x+x=3x}$

$3x+3+6=45$

$\gray{\mathrm{Add\:the\:numbers:}\:3+6=9}$

$3x+9=45$

$\gray{\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}}$

$3x+9-9=45-9$

$\gray{\mathrm{Simplify}}$

$3x=36$

$\gray{\mathrm{Divide\:both\:sides\:by\:}3}$

$\displaystyle\frac{3x}{3}=\frac{36}{3}$

$\gray{\mathrm{Simplify}$

$x=12$