Solve 43x+-577=1/3x+5.333

$$43 x + - 577 = 1 / 3 x + 5.333$$

Solve for x

$$x=13.6484296875$$

Steps for Solving Linear Equation

Subtract \frac{1}{3}x from both sides.

$$43x-577-\frac{1}{3}x=5.333$$

Combine 43x and -\frac{1}{3}x to get \frac{128}{3}x.

$$\frac{128}{3}x-577=5.333$$

Add 577 to both sides.

$$\frac{128}{3}x=5.333+577$$

Add 5.333 and 577 to get 582.333.

$$\frac{128}{3}x=582.333$$

Multiply both sides by \frac{3}{128}, the reciprocal of \frac{128}{3}.

$$x=582.333\times \frac{3}{128}$$

Convert decimal number 582.333 to fraction \frac{582333}{1000}.

$$x=\frac{582333}{1000}\times \frac{3}{128}$$

Multiply \frac{582333}{1000} times \frac{3}{128} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{582333\times 3}{1000\times 128}$$

Do the multiplications in the fraction \frac{582333\times 3}{1000\times 128}.

$$x=\frac{1746999}{128000}$$