Solve 7x-6/3-(x+2)=4x+2

$$\frac { 7 x - 6 } { 3 } - ( x + 2 ) = 4 x + 2$$

Solve for x

$$x = -\frac{9}{4} = -2\frac{1}{4} = -2.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$7x-6-3\left(x+2\right)=12x+6$$

Use the distributive property to multiply -3 by x+2.

$$7x-6-3x-6=12x+6$$

Combine 7x and -3x to get 4x.

$$4x-6-6=12x+6$$

Subtract 6 from -6 to get -12.

$$4x-12=12x+6$$

Subtract 12x from both sides.

$$4x-12-12x=6$$

Combine 4x and -12x to get -8x.

$$-8x-12=6$$

Add 12 to both sides.

$$-8x=6+12$$

Add 6 and 12 to get 18.

$$-8x=18$$

Divide both sides by -8.

$$x=\frac{18}{-8}$$

Reduce the fraction \frac{18}{-8} to lowest terms by extracting and canceling out 2.

$$x=-\frac{9}{4}$$