Solve 3x-1/2=4x+2/5-1

$$\frac { 3 x - 1 } { 2 } = \frac { 4 x + 2 } { 5 } - 1$$

Solve for x

$$x=-\frac{1}{7}\approx -0.142857143$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$5\left(3x-1\right)=2\left(4x+2\right)-10$$

Use the distributive property to multiply 5 by 3x-1.

$$15x-5=2\left(4x+2\right)-10$$

Use the distributive property to multiply 2 by 4x+2.

$$15x-5=8x+4-10$$

Subtract 10 from 4 to get -6.

$$15x-5=8x-6$$

Subtract 8x from both sides.

$$15x-5-8x=-6$$

Combine 15x and -8x to get 7x.

$$7x-5=-6$$

Add 5 to both sides.

$$7x=-6+5$$

Add -6 and 5 to get -1.

$$7x=-1$$

Divide both sides by 7.

$$x=\frac{-1}{7}$$

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

$$x=-\frac{1}{7}$$