Solve 3(5x-1)-2(2x+4)=2(3x+1)-(2x-5)

$$3(5x-1)-2(2x+4)=2(3x+1)-(2x-5)$$

Solve for x

$$x = \frac{18}{7} = 2\frac{4}{7} \approx 2.571428571$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 5x-1.

$$15x-3-2\left(2x+4\right)=2\left(3x+1\right)-\left(2x-5\right)$$

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

$$15x-3-4x-8=2\left(3x+1\right)-\left(2x-5\right)$$

Combine 15x and -4x to get 11x.

$$11x-3-8=2\left(3x+1\right)-\left(2x-5\right)$$

Subtract 8 from -3 to get -11.

$$11x-11=2\left(3x+1\right)-\left(2x-5\right)$$

Use the distributive property to multiply 2 by 3x+1.

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

To find the opposite of 2x-5, find the opposite of each term.

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

The opposite of -5 is 5.

$$11x-11=6x+2-2x+5$$

Combine 6x and -2x to get 4x.

$$11x-11=4x+2+5$$

Add 2 and 5 to get 7.

$$11x-11=4x+7$$

Subtract 4x from both sides.

$$11x-11-4x=7$$

Combine 11x and -4x to get 7x.

$$7x-11=7$$

Add 11 to both sides.

$$7x=7+11$$

Add 7 and 11 to get 18.

$$7x=18$$

Divide both sides by 7.

$$x=\frac{18}{7}$$