Solve 7/9-x+1/3=-2x+4/3+x/9-1

$$\frac { 7 } { 9 } - x + \frac { 1 } { 3 } = \frac { - 2 x + 4 } { 3 } + \frac { x } { 9 } - 1$$

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

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

$$7-9x+3=3\left(-2x+4\right)+x-9$$

Add 7 and 3 to get 10.

$$10-9x=3\left(-2x+4\right)+x-9$$

Use the distributive property to multiply 3 by -2x+4.

$$10-9x=-6x+12+x-9$$

Combine -6x and x to get -5x.

$$10-9x=-5x+12-9$$

Subtract 9 from 12 to get 3.

$$10-9x=-5x+3$$

Add 5x to both sides.

$$10-9x+5x=3$$

Combine -9x and 5x to get -4x.

$$10-4x=3$$

Subtract 10 from both sides.

$$-4x=3-10$$

Subtract 10 from 3 to get -7.

$$-4x=-7$$

Divide both sides by -4.

$$x=\frac{-7}{-4}$$

Fraction \frac{-7}{-4} can be simplified to \frac{7}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{4}$$