Solve 12x-4/5+17-20x/10+4x-7/20=1

$$\frac { 12 x - 4 } { 5 } + \frac { 17 - 20 x } { 10 } + \frac { 4 x - 7 } { 20 } = 1$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,10,20.

$$4\left(12x-4\right)+2\left(17-20x\right)+4x-7=20$$

Use the distributive property to multiply 4 by 12x-4.

$$48x-16+2\left(17-20x\right)+4x-7=20$$

Use the distributive property to multiply 2 by 17-20x.

$$48x-16+34-40x+4x-7=20$$

Add -16 and 34 to get 18.

$$48x+18-40x+4x-7=20$$

Combine 48x and -40x to get 8x.

$$8x+18+4x-7=20$$

Combine 8x and 4x to get 12x.

$$12x+18-7=20$$

Subtract 7 from 18 to get 11.

$$12x+11=20$$

Subtract 11 from both sides.

$$12x=20-11$$

Subtract 11 from 20 to get 9.

$$12x=9$$

Divide both sides by 12.

$$x=\frac{9}{12}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{3}{4}$$