Solve 5x+6+2(x-2)=x-2-(x-3)

$$5 x + 6 + 2 ( x - 2 ) = x - 2 - ( x - 3 )$$

Solve for x

$$x=-\frac{1}{7}\approx -0.142857143$$

Steps for Solving Linear Equation

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

$$5x+6+2x-4=x-2-\left(x-3\right)$$

Combine 5x and 2x to get 7x.

$$7x+6-4=x-2-\left(x-3\right)$$

Subtract 4 from 6 to get 2.

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

To find the opposite of x-3, find the opposite of each term.

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

The opposite of -3 is 3.

$$7x+2=x-2-x+3$$

Combine x and -x to get 0.

$$7x+2=-2+3$$

Add -2 and 3 to get 1.

$$7x+2=1$$

Subtract 2 from both sides.

$$7x=1-2$$

Subtract 2 from 1 to get -1.

$$7x=-1$$

Divide both sides by 7.

$$x=\frac{-1}{7}$$

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

$$x=-\frac{1}{7}$$