Solve 43x+-577=1/3x+5333

$$43 x + - 577 = 1 / 3 x + 5333$$

Solve for x

$$x = \frac{8865}{64} = 138\frac{33}{64} = 138.515625$$

Steps for Solving Linear Equation

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

$$43x-577-\frac{1}{3}x=5333$$

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

$$\frac{128}{3}x-577=5333$$

Add 577 to both sides.

$$\frac{128}{3}x=5333+577$$

Add 5333 and 577 to get 5910.

$$\frac{128}{3}x=5910$$

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

$$x=5910\times \frac{3}{128}$$

Express 5910\times \frac{3}{128} as a single fraction.

$$x=\frac{5910\times 3}{128}$$

Multiply 5910 and 3 to get 17730.

$$x=\frac{17730}{128}$$

Reduce the fraction \frac{17730}{128} to lowest terms by extracting and canceling out 2.

$$x=\frac{8865}{64}$$