Question

Work each problem according to the instructions given.a. Simplify: (7x + 5) - (4x – 6)b. Solve: 7+ 5 = 43 - 6X=c. Solve: 7(x + 5) = 4(x – 6)X=d. Simplify: 7(x + 5) - 4(x - 6)

Answer 1

Step 1

Simplify (7x+5)-(4x-6)

$\begin{gathered} 7x+5-4x+6 \\ \text{Bring like terms together} \\ 7x-4x+5+6 \\ =3x+11 \end{gathered}$

Step 2

Find x

$\begin{gathered} 7x+5=4x-6 \\ 7x-4x=-6-5 \\ 3x=-11 \\ \frac{3x}{3}=-\frac{11}{3} \\ x=-\frac{11}{3} \end{gathered}$

Step 3

Solve for x

$\begin{gathered} 7(x+5)=4(x-6) \\ 7x+35=4x-24 \\ 7x-4x=-24-35 \\ 3x=-59 \\ \frac{3x}{3}=-\frac{59}{3} \\ x=-\frac{59}{3} \end{gathered}$

Step 4

Simplify

$\begin{gathered} 7(x+5)-4(x-6) \\ 7x+35-4x+24 \\ 7x-4x+35+24 \\ =3x+59 \end{gathered}$