Solve 2x-1/3-5x-2/5=1

$$\frac { 2 x - 1 } { 3 } - \frac { 5 x - 2 } { 5 } = 1$$

Solve for x

$$x = -\frac{14}{5} = -2\frac{4}{5} = -2.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(2x-1\right)-3\left(5x-2\right)=15$$

Use the distributive property to multiply 5 by 2x-1.

$$10x-5-3\left(5x-2\right)=15$$

Use the distributive property to multiply -3 by 5x-2.

$$10x-5-15x+6=15$$

Combine 10x and -15x to get -5x.

$$-5x-5+6=15$$

Add -5 and 6 to get 1.

$$-5x+1=15$$

Subtract 1 from both sides.

$$-5x=15-1$$

Subtract 1 from 15 to get 14.

$$-5x=14$$

Divide both sides by -5.

$$x=\frac{14}{-5}$$

Fraction \frac{14}{-5} can be rewritten as -\frac{14}{5} by extracting the negative sign.

$$x=-\frac{14}{5}$$