Solve -2x+1/2=1-11-6x/6

$$- 2 x + \frac { 1 } { 2 } = 1 - \frac { 11 - 6 x } { 6 }$$

Solve for x

$$x=\frac{4}{9}\approx 0.444444444$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$-12x+3=6-\left(11-6x\right)$$

To find the opposite of 11-6x, find the opposite of each term.

$$-12x+3=6-11-\left(-6x\right)$$

The opposite of -6x is 6x.

$$-12x+3=6-11+6x$$

Subtract 11 from 6 to get -5.

$$-12x+3=-5+6x$$

Subtract 6x from both sides.

$$-12x+3-6x=-5$$

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

$$-18x+3=-5$$

Subtract 3 from both sides.

$$-18x=-5-3$$

Subtract 3 from -5 to get -8.

$$-18x=-8$$

Divide both sides by -18.

$$x=\frac{-8}{-18}$$

Reduce the fraction \frac{-8}{-18} to lowest terms by extracting and canceling out -2.

$$x=\frac{4}{9}$$