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

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

Solve for x

$$x=\frac{8}{13}\approx 0.615384615$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,2,4.

$$4\left(2x-1\right)=6\times 3x+3x-12$$

Use the distributive property to multiply 4 by 2x-1.

$$8x-4=6\times 3x+3x-12$$

Multiply 6 and 3 to get 18.

$$8x-4=18x+3x-12$$

Combine 18x and 3x to get 21x.

$$8x-4=21x-12$$

Subtract 21x from both sides.

$$8x-4-21x=-12$$

Combine 8x and -21x to get -13x.

$$-13x-4=-12$$

Add 4 to both sides.

$$-13x=-12+4$$

Add -12 and 4 to get -8.

$$-13x=-8$$

Divide both sides by -13.

$$x=\frac{-8}{-13}$$

Fraction \frac{-8}{-13} can be simplified to \frac{8}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{8}{13}$$