Solve (6x-2)(x+0.5)div6-(x+1)(x+0.5)=1

$$(6x-2)(x+0.5) \div 6-(x+1)(x+0.5)=1$$

Solve for x

$$x=-1.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$\left(6x-2\right)\left(x+0.5\right)-6\left(x+1\right)\left(x+0.5\right)=6$$

Use the distributive property to multiply 6x-2 by x+0.5 and combine like terms.

$$6x^{2}+x-1-6\left(x+1\right)\left(x+0.5\right)=6$$

Use the distributive property to multiply -6 by x+1.

$$6x^{2}+x-1+\left(-6x-6\right)\left(x+0.5\right)=6$$

Use the distributive property to multiply -6x-6 by x+0.5 and combine like terms.

$$6x^{2}+x-1-6x^{2}-9x-3=6$$

Combine 6x^{2} and -6x^{2} to get 0.

$$x-1-9x-3=6$$

Combine x and -9x to get -8x.

$$-8x-1-3=6$$

Subtract 3 from -1 to get -4.

$$-8x-4=6$$

Add 4 to both sides.

$$-8x=6+4$$

Add 6 and 4 to get 10.

$$-8x=10$$

Divide both sides by -8.

$$x=\frac{10}{-8}$$

Reduce the fraction \frac{10}{-8} to lowest terms by extracting and canceling out 2.

$$x=-\frac{5}{4}$$