Solve 2x+3/18-3x-1/14=7x-8/3

$$\frac{ 2x+3 }{ 18 } - \frac{ 3x-1 }{ 14 } = \frac{ 7x-8 }{ 3 }$$

Solve for x

$$x = \frac{366}{307} = 1\frac{59}{307} \approx 1.19218241$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 126, the least common multiple of 18,14,3.

$$7\left(2x+3\right)-9\left(3x-1\right)=42\left(7x-8\right)$$

Use the distributive property to multiply 7 by 2x+3.

$$14x+21-9\left(3x-1\right)=42\left(7x-8\right)$$

Use the distributive property to multiply -9 by 3x-1.

$$14x+21-27x+9=42\left(7x-8\right)$$

Combine 14x and -27x to get -13x.

$$-13x+21+9=42\left(7x-8\right)$$

Add 21 and 9 to get 30.

$$-13x+30=42\left(7x-8\right)$$

Use the distributive property to multiply 42 by 7x-8.

$$-13x+30=294x-336$$

Subtract 294x from both sides.

$$-13x+30-294x=-336$$

Combine -13x and -294x to get -307x.

$$-307x+30=-336$$

Subtract 30 from both sides.

$$-307x=-336-30$$

Subtract 30 from -336 to get -366.

$$-307x=-366$$

Divide both sides by -307.

$$x=\frac{-366}{-307}$$

Fraction \frac{-366}{-307} can be simplified to \frac{366}{307} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{366}{307}$$