Solve (2)(3)left(5-3xright)-(-4+6)=(8x+11)-(3x-6)

$$(2)(3) \left( 5-3x \right) -(-4+6) = (8x+11)-(3x-6)$$

Solve for x

$$x=\frac{11}{23}\approx 0.47826087$$

Steps for Solving Linear Equation

Multiply 2 and 3 to get 6.

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

Use the distributive property to multiply 6 by 5-3x.

$$30-18x-\left(-4+6\right)=8x+11-\left(3x-6\right)$$

Add -4 and 6 to get 2.

$$30-18x-2=8x+11-\left(3x-6\right)$$

Subtract 2 from 30 to get 28.

$$28-18x=8x+11-\left(3x-6\right)$$

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

$$28-18x=8x+11-3x-\left(-6\right)$$

The opposite of -6 is 6.

$$28-18x=8x+11-3x+6$$

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

$$28-18x=5x+11+6$$

Add 11 and 6 to get 17.

$$28-18x=5x+17$$

Subtract 5x from both sides.

$$28-18x-5x=17$$

Combine -18x and -5x to get -23x.

$$28-23x=17$$

Subtract 28 from both sides.

$$-23x=17-28$$

Subtract 28 from 17 to get -11.

$$-23x=-11$$

Divide both sides by -23.

$$x=\frac{-11}{-23}$$

Fraction \frac{-11}{-23} can be simplified to \frac{11}{23} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{11}{23}$$