Solve 3-7x+2/8=2x+3x+1/9

$$3 - \frac { 7 x + 2 } { 8 } = 2 x + \frac { 3 x + 1 } { 9 }$$

Solve for x

$$x=\frac{190}{231}\approx 0.822510823$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 72, the least common multiple of 8,9.

$$216-9\left(7x+2\right)=144x+8\left(3x+1\right)$$

Use the distributive property to multiply -9 by 7x+2.

$$216-63x-18=144x+8\left(3x+1\right)$$

Subtract 18 from 216 to get 198.

$$198-63x=144x+8\left(3x+1\right)$$

Use the distributive property to multiply 8 by 3x+1.

$$198-63x=144x+24x+8$$

Combine 144x and 24x to get 168x.

$$198-63x=168x+8$$

Subtract 168x from both sides.

$$198-63x-168x=8$$

Combine -63x and -168x to get -231x.

$$198-231x=8$$

Subtract 198 from both sides.

$$-231x=8-198$$

Subtract 198 from 8 to get -190.

$$-231x=-190$$

Divide both sides by -231.

$$x=\frac{-190}{-231}$$

Fraction \frac{-190}{-231} can be simplified to \frac{190}{231} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{190}{231}$$