Rule of Transposition

Solve the following linear equation in one variable and represent the solution on the number line.

$\frac{2x}{3}-\frac{4}{5}=2$

Solve the following equation: $2\left(x-3\right)+5\left(x-2\right)=24$

Solve the following equation: $3\left(x-3\right)+4\left(2x+1\right)=5$

Solve the following equation:

$\frac{y}{5}+\frac{2}{10}=-3$

Solve the following equation:

$3a+5=4$

Solve the following equation:

$4p-7=\frac{19}{2}$

Solve the following equation:

$19=\frac{2c}{7}-10$

Solve the following equation:

$5x+7x=30$

Solve the following equation:

$3n-7=11$

Solve the following equation:

$2x+6=12$