Solve 2x-1-3x+3/2=2x-5/14

$$2 x - 1 - \frac { 3 x + 3 } { 2 } = \frac { 2 x - 5 } { 14 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 2,14.

$$28x-14-7\left(3x+3\right)=2x-5$$

Use the distributive property to multiply -7 by 3x+3.

$$28x-14-21x-21=2x-5$$

Combine 28x and -21x to get 7x.

$$7x-14-21=2x-5$$

Subtract 21 from -14 to get -35.

$$7x-35=2x-5$$

Subtract 2x from both sides.

$$7x-35-2x=-5$$

Combine 7x and -2x to get 5x.

$$5x-35=-5$$

Add 35 to both sides.

$$5x=-5+35$$

Add -5 and 35 to get 30.

$$5x=30$$

Divide both sides by 5.

$$x=\frac{30}{5}$$

Divide 30 by 5 to get 6.

$$x=6$$