Solve 7x+2(x+2)=8x-2(x-1)

$$7 x + 2 ( x + 2 ) = 8 x - 2 ( x - 1 )$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

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

$$7x+2x+4=8x-2\left(x-1\right)$$

Combine 7x and 2x to get 9x.

$$9x+4=8x-2\left(x-1\right)$$

Use the distributive property to multiply -2 by x-1.

$$9x+4=8x-2x+2$$

Combine 8x and -2x to get 6x.

$$9x+4=6x+2$$

Subtract 6x from both sides.

$$9x+4-6x=2$$

Combine 9x and -6x to get 3x.

$$3x+4=2$$

Subtract 4 from both sides.

$$3x=2-4$$

Subtract 4 from 2 to get -2.

$$3x=-2$$

Divide both sides by 3.

$$x=\frac{-2}{3}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$x=-\frac{2}{3}$$