Solve (5-3x)-(-4x+6)=(8x+11)

$$( 5 - 3 x ) - ( - 4 x + 6 ) = ( 8 x + 11 )$$

Solve for x

$$x = -\frac{12}{7} = -1\frac{5}{7} \approx -1.714285714$$

Steps for Solving Linear Equation

To find the opposite of -4x+6, find the opposite of each term.

$$5-3x-\left(-4x\right)-6=8x+11$$

The opposite of -4x is 4x.

$$5-3x+4x-6=8x+11$$

Combine -3x and 4x to get x.

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

Subtract 6 from 5 to get -1.

$$-1+x=8x+11$$

Subtract 8x from both sides.

$$-1+x-8x=11$$

Combine x and -8x to get -7x.

$$-1-7x=11$$

Add 1 to both sides.

$$-7x=11+1$$

Add 11 and 1 to get 12.

$$-7x=12$$

Divide both sides by -7.

$$x=\frac{12}{-7}$$

Fraction \frac{12}{-7} can be rewritten as -\frac{12}{7} by extracting the negative sign.

$$x=-\frac{12}{7}$$