Solve 2-5+2x/10+7/5x=12/5(1-x/4)

$$2 - \frac { 5 + 2 x } { 10 } + \frac { 7 } { 5 } x = \frac { 12 } { 5 } ( 1 - \frac { x } { 4 } )$$

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 10,5,4.

$$40-2\left(5+2x\right)+28x=48\left(1-\frac{x}{4}\right)$$

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

$$40-10-4x+28x=48\left(1-\frac{x}{4}\right)$$

Subtract 10 from 40 to get 30.

$$30-4x+28x=48\left(1-\frac{x}{4}\right)$$

Combine -4x and 28x to get 24x.

$$30+24x=48\left(1-\frac{x}{4}\right)$$

Use the distributive property to multiply 48 by 1-\frac{x}{4}.

$$30+24x=48+48\left(-\frac{x}{4}\right)$$

Cancel out 4, the greatest common factor in 48 and 4.

$$30+24x=48-12x$$

Add 12x to both sides.

$$30+24x+12x=48$$

Combine 24x and 12x to get 36x.

$$30+36x=48$$

Subtract 30 from both sides.

$$36x=48-30$$

Subtract 30 from 48 to get 18.

$$36x=18$$

Divide both sides by 36.

$$x=\frac{18}{36}$$

Reduce the fraction \frac{18}{36} to lowest terms by extracting and canceling out 18.

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