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

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

Solve for x

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by 3x+5.

$$6x+10-\left(2x-1\right)=4$$

To find the opposite of 2x-1, find the opposite of each term.

$$6x+10-2x-\left(-1\right)=4$$

The opposite of -1 is 1.

$$6x+10-2x+1=4$$

Combine 6x and -2x to get 4x.

$$4x+10+1=4$$

Add 10 and 1 to get 11.

$$4x+11=4$$

Subtract 11 from both sides.

$$4x=4-11$$

Subtract 11 from 4 to get -7.

$$4x=-7$$

Divide both sides by 4.

$$x=\frac{-7}{4}$$

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$x=-\frac{7}{4}$$