Solve 3x-(-7x+2)=x-2(6x+5)+(-2-9x)

$$3 x - ( - 7 x + 2 ) = x - 2 ( 6 x + 5 ) + ( - 2 - 9 x )$$

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

To find the opposite of -7x+2, find the opposite of each term.

$$3x-\left(-7x\right)-2=x-2\left(6x+5\right)-2-9x$$

The opposite of -7x is 7x.

$$3x+7x-2=x-2\left(6x+5\right)-2-9x$$

Combine 3x and 7x to get 10x.

$$10x-2=x-2\left(6x+5\right)-2-9x$$

Use the distributive property to multiply -2 by 6x+5.

$$10x-2=x-12x-10-2-9x$$

Combine x and -12x to get -11x.

$$10x-2=-11x-10-2-9x$$

Subtract 2 from -10 to get -12.

$$10x-2=-11x-12-9x$$

Combine -11x and -9x to get -20x.

$$10x-2=-20x-12$$

Add 20x to both sides.

$$10x-2+20x=-12$$

Combine 10x and 20x to get 30x.

$$30x-2=-12$$

Add 2 to both sides.

$$30x=-12+2$$

Add -12 and 2 to get -10.

$$30x=-10$$

Divide both sides by 30.

$$x=\frac{-10}{30}$$

Reduce the fraction \frac{-10}{30} to lowest terms by extracting and canceling out 10.

$$x=-\frac{1}{3}$$