Solve 3(2x-1)/4-5x-3/3=5/6

$$\frac { 3 ( 2 x - 1 ) } { 4 } - \frac { 5 x - 3 } { 3 } = \frac { 5 } { 6 }$$

Solve for x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3,6.

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

Multiply 3 and 3 to get 9.

$$9\left(2x-1\right)-4\left(5x-3\right)=10$$

Use the distributive property to multiply 9 by 2x-1.

$$18x-9-4\left(5x-3\right)=10$$

Use the distributive property to multiply -4 by 5x-3.

$$18x-9-20x+12=10$$

Combine 18x and -20x to get -2x.

$$-2x-9+12=10$$

Add -9 and 12 to get 3.

$$-2x+3=10$$

Subtract 3 from both sides.

$$-2x=10-3$$

Subtract 3 from 10 to get 7.

$$-2x=7$$

Divide both sides by -2.

$$x=\frac{7}{-2}$$

Fraction \frac{7}{-2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$x=-\frac{7}{2}$$