Solve for \(x\) in \(2(3x+5)=5(x+5)\).
Solve for \(x\).
\[2(3x+5)=5(x+5)\]
Expand.
\[6x+10=5x+25\]
Subtract \(10\) from both sides.
\[6x=5x+25-10\]
Simplify \(5x+25-10\) to \(5x+15\).
\[6x=5x+15\]
Subtract \(5x\) from both sides.
\[6x-5x=15\]
Simplify \(6x-5x\) to \(x\).
\[x=15\]
\[x=15\]
Substitute \(x=15\) into \(otdeg\times 6x+10=5x+25\).
Start with the original equation.
\[otdeg\times 6x+10=5x+25\]
Let \(x=15\).
\[otdeg\times 6\times 15+10=5\times 15+25\]
Simplify.
\[90degot+10=100\]
\[90degot+10=100\]
Substitute \(x=15\) into \(o{r}^{2}\times 6x+5x=70+25\).
Start with the original equation.
\[o{r}^{2}\times 6x+5x=70+25\]
Let \(x=15\).
\[o{r}^{2}\times 6\times 15+5\times 15=70+25\]
Simplify.
\[90o{r}^{2}+75=95\]
\[90o{r}^{2}+75=95\]
Substitute \(x=15\) into \(611x=35\).
Start with the original equation.
\[611x=35\]
Let \(x=15\).
\[611\times 15=35\]
Simplify.
\[9165=35\]
\[9165=35\]
Since \(9165=35\) is not true, this is an inconsistent system.
