Solve 4-2x/3-1-2x/2=10+x/9

$$\frac { 4 - 2 x } { 3 } - \frac { 1 - 2 x } { 2 } = \frac { 10 + x } { 9 }$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 3,2,9.

$$6\left(4-2x\right)-9\left(1-2x\right)=2\left(10+x\right)$$

Use the distributive property to multiply 6 by 4-2x.

$$24-12x-9\left(1-2x\right)=2\left(10+x\right)$$

Use the distributive property to multiply -9 by 1-2x.

$$24-12x-9+18x=2\left(10+x\right)$$

Subtract 9 from 24 to get 15.

$$15-12x+18x=2\left(10+x\right)$$

Combine -12x and 18x to get 6x.

$$15+6x=2\left(10+x\right)$$

Use the distributive property to multiply 2 by 10+x.

$$15+6x=20+2x$$

Subtract 2x from both sides.

$$15+6x-2x=20$$

Combine 6x and -2x to get 4x.

$$15+4x=20$$

Subtract 15 from both sides.

$$4x=20-15$$

Subtract 15 from 20 to get 5.

$$4x=5$$

Divide both sides by 4.

$$x=\frac{5}{4}$$