Solve for the variable $$ x $$ in the equation shown below. $$ \frac{x+7}{4}=\frac{4}{3}-\frac{x-3}{3} $$

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Solve the equation $$ \frac{x+7}{4}=\frac{4}{3}-\frac{x-3}{3} $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{x+7}{4}=\frac{4}{3}-\frac{x-3}{3}$$
- step1: Multiply both sides of the equation by LCD:
  $$\frac{x+7}{4}	imes 12=\left(\frac{4}{3}-\frac{x-3}{3}ight)	imes 12$$
- step2: Simplify the equation:
  $$3x+21=28-4x$$
- step3: Move the expression to the left side:
  $$3x+4x=28-21$$
- step4: Add and subtract:
  $$7x=28-21$$
- step5: Add and subtract:
  $$7x=7$$
- step6: Divide both sides:
  $$\frac{7x}{7}=\frac{7}{7}$$
- step7: Divide the numbers:
  $$x=1$$
The solution to the equation $$ \frac{x+7}{4}=\frac{4}{3}-\frac{x-3}{3} $$ is $$ x=1 $$.
$$ x=1 $$

Solve for the variable in the equation shown below.

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