Question

3x - 216 - x) = 7x + 2(5 + x) - 6es )A)-4B)-22D)4

Answer 1

Given the equation

`3x-2(6-x)=7x+2(5+x)-6`

You need to solve it for x.

The fist step is to solve the terms in parenthesis, for this you have to apply the distributive propperties of multiplication.

a(b+c)= ab+ac

`\begin{gathered} 3x-(2\cdot6)-(2\cdot-x)=7x+(2\cdot5)+(2\cdot x)-6 \\ 3x-12+2x=7x+10+2x-6 \end{gathered}`

Next order all alike terms together

`\begin{gathered} 3x+2x-12=7x+2x+10-6 \\ 5x-12=9x+4 \end{gathered}`

Pass the x related terms to one side of the equation and all numbers to the other one

`\begin{gathered} 5x-9x=4+12 \\ -4x=16 \\ x=-4 \end{gathered}`