Solve (3x+5-(x-4-3(-2x-4)))=6x+11

$$( 3 x + 5 - ( x - 4 - 3 ( - 2 x - 4 ) ) ) = 6 x + 11$$

Solve for x

$$x = -\frac{7}{5} = -1\frac{2}{5} = -1.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by -2x-4.

$$3x+5-\left(x-4+6x+12\right)=6x+11$$

Combine x and 6x to get 7x.

$$3x+5-\left(7x-4+12\right)=6x+11$$

Add -4 and 12 to get 8.

$$3x+5-\left(7x+8\right)=6x+11$$

To find the opposite of 7x+8, find the opposite of each term.

$$3x+5-7x-8=6x+11$$

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

$$-4x+5-8=6x+11$$

Subtract 8 from 5 to get -3.

$$-4x-3=6x+11$$

Subtract 6x from both sides.

$$-4x-3-6x=11$$

Combine -4x and -6x to get -10x.

$$-10x-3=11$$

Add 3 to both sides.

$$-10x=11+3$$

Add 11 and 3 to get 14.

$$-10x=14$$

Divide both sides by -10.

$$x=\frac{14}{-10}$$

Reduce the fraction \frac{14}{-10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{7}{5}$$