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

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

Solve for x

$$x=-\frac{4}{5}=-0.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 5-3x.

$$15-9x-\left(-4x+6\right)=8x+11-\left(3x-6\right)$$

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

$$15-9x-\left(-4x\right)-6=8x+11-\left(3x-6\right)$$

The opposite of -4x is 4x.

$$15-9x+4x-6=8x+11-\left(3x-6\right)$$

Combine -9x and 4x to get -5x.

$$15-5x-6=8x+11-\left(3x-6\right)$$

Subtract 6 from 15 to get 9.

$$9-5x=8x+11-\left(3x-6\right)$$

To find the opposite of 3x-6, find the opposite of each term.

$$9-5x=8x+11-3x-\left(-6\right)$$

The opposite of -6 is 6.

$$9-5x=8x+11-3x+6$$

Combine 8x and -3x to get 5x.

$$9-5x=5x+11+6$$

Add 11 and 6 to get 17.

$$9-5x=5x+17$$

Subtract 5x from both sides.

$$9-5x-5x=17$$

Combine -5x and -5x to get -10x.

$$9-10x=17$$

Subtract 9 from both sides.

$$-10x=17-9$$

Subtract 9 from 17 to get 8.

$$-10x=8$$

Divide both sides by -10.

$$x=\frac{8}{-10}$$

Reduce the fraction \frac{8}{-10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{4}{5}$$