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4x + 9 = -7x + 42 help

Sagot :

The given expression is

[tex]4x+9=-7x+42[/tex]

First, we add 7x on each side

[tex]\begin{gathered} 4x+7x+9=-7x+7x+42 \\ 11x+9=42 \end{gathered}[/tex]

Second, we subtract 9 from each side

[tex]\begin{gathered} 11x+9-9=42-9 \\ 11x=33 \end{gathered}[/tex]

At last, we divide the equation by 11.

[tex]\begin{gathered} \frac{11x}{11}=\frac{33}{11} \\ x=3 \end{gathered}[/tex]

Hence, the solution is x = 3.