Solve x-1/2=5x+10/6

$$\frac { x - 1 } { 2 } = \frac { 5 x + 10 } { 6 }$$

Solve for x

$$x = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

Steps for Solving Linear Equation

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

$$3\left(x-1\right)=5x+10$$

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

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

Subtract 5x from both sides.

$$3x-3-5x=10$$

Combine 3x and -5x to get -2x.

$$-2x-3=10$$

Add 3 to both sides.

$$-2x=10+3$$

Add 10 and 3 to get 13.

$$-2x=13$$

Divide both sides by -2.

$$x=\frac{13}{-2}$$

Fraction \frac{13}{-2} can be rewritten as -\frac{13}{2} by extracting the negative sign.

$$x=-\frac{13}{2}$$