Solve -x-1/3+1/4=7x+1/6

$$- \frac { x - 1 } { 3 } + \frac { 1 } { 4 } = \frac { 7 x + 1 } { 6 }$$

Solve for x

$$x=\frac{5}{18}\approx 0.277777778$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,6.

$$-4\left(x-1\right)+3=2\left(7x+1\right)$$

Use the distributive property to multiply -4 by x-1.

$$-4x+4+3=2\left(7x+1\right)$$

Add 4 and 3 to get 7.

$$-4x+7=2\left(7x+1\right)$$

Use the distributive property to multiply 2 by 7x+1.

$$-4x+7=14x+2$$

Subtract 14x from both sides.

$$-4x+7-14x=2$$

Combine -4x and -14x to get -18x.

$$-18x+7=2$$

Subtract 7 from both sides.

$$-18x=2-7$$

Subtract 7 from 2 to get -5.

$$-18x=-5$$

Divide both sides by -18.

$$x=\frac{-5}{-18}$$

Fraction \frac{-5}{-18} can be simplified to \frac{5}{18} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{18}$$