Solve x-1/6-x=-25/18

$$\frac{ x-1 }{ 6 } -x=- \frac{ 25 }{ 18 }$$

Solve for x

$$x = \frac{22}{15} = 1\frac{7}{15} \approx 1.466666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 6,18.

$$3\left(x-1\right)-18x=-25$$

Use the distributive property to multiply 3 by x-1.

$$3x-3-18x=-25$$

Combine 3x and -18x to get -15x.

$$-15x-3=-25$$

Add 3 to both sides.

$$-15x=-25+3$$

Add -25 and 3 to get -22.

$$-15x=-22$$

Divide both sides by -15.

$$x=\frac{-22}{-15}$$

Fraction \frac{-22}{-15} can be simplified to \frac{22}{15} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{22}{15}$$