Question

Solve quickly!3(x+10)=4(x-2)

Answer 1

x = 38

Step-by-step explanation

To solve this equation, first, we have to apply the distributive property of multiplication over addition to eliminate the parenthesis,

`\begin{gathered} 3\cdot x+3\cdot10=4\cdot x-4\cdot2 \\ \\ 3x+30=4x-8 \end{gathered}`

Subtract 3x from both sides of the equation,

`\begin{gathered} 3x-3x+30=4x-3x-8 \\ \\ 30=x-8 \end{gathered}`

And add 8 to both sides,

`\begin{gathered} 30+8=x-8+8 \\ \\ 38=x \end{gathered}`

Hence, the solution is x = 38.