Question

- 12 . ( x - 5 ) + 7 . ( 3 -x ) = 5

30 . ( x +2 ) - 6 .  (x -5 ) - 24x = 100

Answer 1

\(-12\cdot\left(x-5\right)+7\cdot\left(3-x\right)=5\)

\(-12\left(x-5\right)+7\left(-x+3\right)=5\)

\(-\left(12x-12\cdot5\right)+\left(-7x+7\cdot3\right)=5\)

\(-\left(12x-60\right)+\left(-7x+21\right)=5\)

\(-12+60+-7x+21=5\)

\(-12x-7x+0+21=5\)

\(-19+81=5\)

\(\left(-19x+81\right)+\left(-81\right)=5+\left(-81\right)\)

\(-19x+81-81=5-81\)

\(-19x=76\)

\(\frac{19x}{19}=\frac{76}{19}\)

\(x=\frac{2^2\cdot19}{19}\)

\(x=2^2=4\)