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

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

Solve for x

$$x=\frac{15}{16}=0.9375$$

Steps for Solving Linear Equation

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

$$4\times 2x+3=24x-12$$

Multiply 4 and 2 to get 8.

$$8x+3=24x-12$$

Subtract 24x from both sides.

$$8x+3-24x=-12$$

Combine 8x and -24x to get -16x.

$$-16x+3=-12$$

Subtract 3 from both sides.

$$-16x=-12-3$$

Subtract 3 from -12 to get -15.

$$-16x=-15$$

Divide both sides by -16.

$$x=\frac{-15}{-16}$$

Fraction \frac{-15}{-16} can be simplified to \frac{15}{16} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{15}{16}$$