Solve 3x+5a/2x+b=6x-2b/4x-2a

$$\frac { 3 x + 5 a } { 2 x + b } = \frac { 6 x - 2 b } { 4 x - 2 a }$$

Solve for a

$$\left\{\begin{matrix}a=\frac{\sqrt{49x^{2}-20bx+20b^{2}}+7x}{10}\text{, }&x\neq -\frac{b}{2}\text{ and }\left(b<0\text{ or }x\neq \frac{b}{3}\right)\\a=\frac{-\sqrt{49x^{2}-20bx+20b^{2}}+7x}{10}\text{, }&x\neq -\frac{b}{2}\text{ and }\left(b>0\text{ or }x\neq \frac{b}{3}\right)\end{matrix}\right.$$

Solve for b

$$\left\{\begin{matrix}b=\frac{-\sqrt{x^{2}-28ax+20a^{2}}+x}{2}\text{, }&\left(a>0\text{ and }x\neq \frac{a}{2}\text{ and }x\leq -4\sqrt{11}a+14a\right)\text{ or }\left(a>0\text{ and }x\geq 4\sqrt{11}a+14a\right)\text{ or }\left(a<0\text{ and }x\leq 4\sqrt{11}a+14a\right)\text{ or }\left(x\neq -\frac{5a}{3}\text{ and }a<0\text{ and }x\geq -4\sqrt{11}a+14a\text{ and }x\neq \frac{a}{2}\right)\text{ or }\left(x\neq -\frac{5a}{3}\text{ and }x\neq \frac{a}{2}\text{ and }x\geq 4\sqrt{11}|a|+14a\right)\text{ or }\left(x\neq -\frac{5a}{3}\text{ and }x\neq \frac{a}{2}\text{ and }x\leq -4\sqrt{11}|a|+14a\right)\\b=\frac{\sqrt{x^{2}-28ax+20a^{2}}+x}{2}\text{, }&\left(a<0\text{ and }x\leq 4\sqrt{11}a+14a\right)\text{ or }\left(a<0\text{ and }x\neq \frac{a}{2}\text{ and }x\geq -4\sqrt{11}a+14a\right)\text{ or }\left(x\neq -\frac{5a}{3}\text{ and }a>0\text{ and }x\leq -4\sqrt{11}a+14a\text{ and }x\neq \frac{a}{2}\right)\text{ or }\left(a>0\text{ and }x\geq 4\sqrt{11}a+14a\right)\text{ or }\left(x\neq -\frac{5a}{3}\text{ and }x\neq \frac{a}{2}\text{ and }x\geq 4\sqrt{11}|a|+14a\right)\text{ or }\left(x\neq -\frac{5a}{3}\text{ and }x\neq \frac{a}{2}\text{ and }x\leq -4\sqrt{11}|a|+14a\right)\end{matrix}\right.$$