Solve x+17/5=2-2x-7/4

$$\frac { x + 17 } { 5 } = 2 - \frac { 2 x - 7 } { 4 }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$4\left(x+17\right)=40-5\left(2x-7\right)$$

Use the distributive property to multiply 4 by x+17.

$$4x+68=40-5\left(2x-7\right)$$

Use the distributive property to multiply -5 by 2x-7.

$$4x+68=40-10x+35$$

Add 40 and 35 to get 75.

$$4x+68=75-10x$$

Add 10x to both sides.

$$4x+68+10x=75$$

Combine 4x and 10x to get 14x.

$$14x+68=75$$

Subtract 68 from both sides.

$$14x=75-68$$

Subtract 68 from 75 to get 7.

$$14x=7$$

Divide both sides by 14.

$$x=\frac{7}{14}$$

Reduce the fraction \frac{7}{14} to lowest terms by extracting and canceling out 7.

$$x=\frac{1}{2}$$