Solve 43/15left(x-12/7right)=x*21/7-43/15x

$$4 \frac{ 3 }{ 15 } \left( x-1 \frac{ 2 }{ 7 } \right) = x \times 2 \frac{ 1 }{ 7 } -4 \frac{ 3 }{ 15 } x$$

Solve for x

$$x=\frac{63}{73}\approx 0.863013699$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 105, the least common multiple of 15,7.

$$7\left(4\times 15+3\right)\left(x-\frac{1\times 7+2}{7}\right)=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Multiply 4 and 15 to get 60.

$$7\left(60+3\right)\left(x-\frac{1\times 7+2}{7}\right)=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Add 60 and 3 to get 63.

$$7\times 63\left(x-\frac{1\times 7+2}{7}\right)=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Multiply 7 and 63 to get 441.

$$441\left(x-\frac{1\times 7+2}{7}\right)=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Multiply 1 and 7 to get 7.

$$441\left(x-\frac{7+2}{7}\right)=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Add 7 and 2 to get 9.

$$441\left(x-\frac{9}{7}\right)=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Use the distributive property to multiply 441 by x-\frac{9}{7}.

$$441x+441\left(-\frac{9}{7}\right)=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Express 441\left(-\frac{9}{7}\right) as a single fraction.

$$441x+\frac{441\left(-9\right)}{7}=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Multiply 441 and -9 to get -3969.

$$441x+\frac{-3969}{7}=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Divide -3969 by 7 to get -567.

$$441x-567=15x\left(2\times 7+1\right)-7\left(4\times 15+3\right)x$$

Multiply 2 and 7 to get 14.

$$441x-567=15x\left(14+1\right)-7\left(4\times 15+3\right)x$$

Add 14 and 1 to get 15.

$$441x-567=15x\times 15-7\left(4\times 15+3\right)x$$

Multiply 15 and 15 to get 225.

$$441x-567=225x-7\left(4\times 15+3\right)x$$

Multiply 4 and 15 to get 60.

$$441x-567=225x-7\left(60+3\right)x$$

Add 60 and 3 to get 63.

$$441x-567=225x-7\times 63x$$

Multiply 7 and 63 to get 441.

$$441x-567=225x-441x$$

Combine 225x and -441x to get -216x.

$$441x-567=-216x$$

Add 216x to both sides.

$$441x-567+216x=0$$

Combine 441x and 216x to get 657x.

$$657x-567=0$$

Add 567 to both sides. Anything plus zero gives itself.

$$657x=567$$

Divide both sides by 657.

$$x=\frac{567}{657}$$

Reduce the fraction \frac{567}{657} to lowest terms by extracting and canceling out 9.

$$x=\frac{63}{73}$$