$$ \frac{5 x+2}{2 x+2}=\frac{12}{7} $$ then $$ x= $$

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Solve the equation $$ \frac{5x+2}{2x+2}=\frac{12}{7} $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{5x+2}{2x+2}=\frac{12}{7}$$
- step1: Find the domain:
  $$\frac{5x+2}{2x+2}=\frac{12}{7},x
eq -1$$
- step2: Cross multiply:
  $$\left(5x+2ight)	imes 7=\left(2x+2ight)	imes 12$$
- step3: Simplify the equation:
  $$7\left(5x+2ight)=12\left(2x+2ight)$$
- step4: Calculate:
  $$35x+14=12\left(2x+2ight)$$
- step5: Calculate:
  $$35x+14=24x+24$$
- step6: Move the expression to the left side:
  $$35x+14-\left(24x+24ight)=0$$
- step7: Calculate:
  $$11x-10=0$$
- step8: Move the constant to the right side:
  $$11x=0+10$$
- step9: Remove 0:
  $$11x=10$$
- step10: Divide both sides:
  $$\frac{11x}{11}=\frac{10}{11}$$
- step11: Divide the numbers:
  $$x=\frac{10}{11}$$
- step12: Check if the solution is in the defined range:
  $$x=\frac{10}{11},x
eq -1$$
- step13: Find the intersection:
  $$x=\frac{10}{11}$$
The solution to the equation $$ \frac{5x+2}{2x+2}=\frac{12}{7} $$ is $$ x = \frac{10}{11} $$ or $$ x = 0.\dot{9}\dot{0} $$.
$$ x = \frac{10}{11} $$

\( \frac{5 x+2}{2 x+2}=\frac{12}{7} \) then \( x= \)

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