Solve 43/5=x*12-32/5

$$4 \frac{ 3 }{ 5 } =x \times 12-3 \frac{ 2 }{ 5 }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$4\times 5+3=5x\times 12-\left(3\times 5+2\right)$$

Multiply 4 and 5 to get 20.

$$20+3=5x\times 12-\left(3\times 5+2\right)$$

Add 20 and 3 to get 23.

$$23=5x\times 12-\left(3\times 5+2\right)$$

Multiply 5 and 12 to get 60.

$$23=60x-\left(3\times 5+2\right)$$

Multiply 3 and 5 to get 15.

$$23=60x-\left(15+2\right)$$

Add 15 and 2 to get 17.

$$23=60x-17$$

Swap sides so that all variable terms are on the left hand side.

$$60x-17=23$$

Add 17 to both sides.

$$60x=23+17$$

Add 23 and 17 to get 40.

$$60x=40$$

Divide both sides by 60.

$$x=\frac{40}{60}$$

Reduce the fraction \frac{40}{60} to lowest terms by extracting and canceling out 20.

$$x=\frac{2}{3}$$