Solve 3x-7/4-5x+8/2=1

$$\frac { 3 x - 7 } { 4 } - \frac { 5 x + 8 } { 2 } = 1$$

Solve for x

$$x = -\frac{27}{7} = -3\frac{6}{7} \approx -3.857142857$$

Steps for Solving Linear Equation

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

$$3x-7-2\left(5x+8\right)=4$$

Use the distributive property to multiply -2 by 5x+8.

$$3x-7-10x-16=4$$

Combine 3x and -10x to get -7x.

$$-7x-7-16=4$$

Subtract 16 from -7 to get -23.

$$-7x-23=4$$

Add 23 to both sides.

$$-7x=4+23$$

Add 4 and 23 to get 27.

$$-7x=27$$

Divide both sides by -7.

$$x=\frac{27}{-7}$$

Fraction \frac{27}{-7} can be rewritten as -\frac{27}{7} by extracting the negative sign.

$$x=-\frac{27}{7}$$