Solve 3(x-5)-(3-5x)=5-3x

$$3(x-5)-(3-5x)=5-3x$$

Solve for x

$$x = \frac{23}{11} = 2\frac{1}{11} \approx 2.090909091$$

Steps for Solving Linear Equation

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

$$3x-15-\left(3-5x\right)=5-3x$$

To find the opposite of 3-5x, find the opposite of each term.

$$3x-15-3-\left(-5x\right)=5-3x$$

The opposite of -5x is 5x.

$$3x-15-3+5x=5-3x$$

Subtract 3 from -15 to get -18.

$$3x-18+5x=5-3x$$

Combine 3x and 5x to get 8x.

$$8x-18=5-3x$$

Add 3x to both sides.

$$8x-18+3x=5$$

Combine 8x and 3x to get 11x.

$$11x-18=5$$

Add 18 to both sides.

$$11x=5+18$$

Add 5 and 18 to get 23.

$$11x=23$$

Divide both sides by 11.

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