Solve 4x+4/5-3(x+5)/6=2-2x/4

$$\frac { 4 x + 4 } { 5 } - \frac { 3 ( x + 5 ) } { 6 } = \frac { 2 - 2 x } { 4 }$$

Solve for x

$$x = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 5,6,4.

$$12\left(4x+4\right)-10\times 3\left(x+5\right)=15\left(2-2x\right)$$

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

$$48x+48-10\times 3\left(x+5\right)=15\left(2-2x\right)$$

Multiply -10 and 3 to get -30.

$$48x+48-30\left(x+5\right)=15\left(2-2x\right)$$

Use the distributive property to multiply -30 by x+5.

$$48x+48-30x-150=15\left(2-2x\right)$$

Combine 48x and -30x to get 18x.

$$18x+48-150=15\left(2-2x\right)$$

Subtract 150 from 48 to get -102.

$$18x-102=15\left(2-2x\right)$$

Use the distributive property to multiply 15 by 2-2x.

$$18x-102=30-30x$$

Add 30x to both sides.

$$18x-102+30x=30$$

Combine 18x and 30x to get 48x.

$$48x-102=30$$

Add 102 to both sides.

$$48x=30+102$$

Add 30 and 102 to get 132.

$$48x=132$$

Divide both sides by 48.

$$x=\frac{132}{48}$$

Reduce the fraction \frac{132}{48} to lowest terms by extracting and canceling out 12.

$$x=\frac{11}{4}$$