Question

(2m-3)-5(7m+6)=2(m+7)-18

Answer 1

Answer:

$\left(2m-3\right)-5\left(7m+6\right)=2\left(m+7\right)-18\quad :\quad m=-\dfrac{29}{35}\quad \left(\mathrm{Decimal}:\quad m=-0.82857\dots \right)$

Step-by-step explanation:

$\left(2m-3\right)-5\left(7m+6\right)=2\left(m+7\right)-18$

$2m-3-5\left(7m+6\right)=2\left(m+7\right)-18$

$\gray{\mathrm{Expand\:}2m-3-5\left(7m+6\right):\quad -33m-33}$

$\gray{\mathrm{Expand\:}2\left(m+7\right)-18:\quad 2m-4}$

$-33m-33=2m-4$

$\gray{\mathrm{Add\:}33\mathrm{\:to\:both\:sides}}$

$-33m-33+33=2m-4+33$

$\gray{\mathrm{Simplify}}$

$-33m=2m+29$

$\gray{\mathrm{Subtract\:}2m\mathrm{\:from\:both\:sides}}$

$-33m-2m=2m+29-2m$

$\gray{\mathrm{Simplify}}$

$-35m=29$

$\gray{\mathrm{Divide\:both\:sides\:by\:}-35}$

$\dfrac{-35m}{-35}=\dfrac{29}{-35}$

$\gray{\mathrm{Simplify}}$

$m=-\dfrac{29}{35}$

Answer 2

dfhJffksoycihchocgix