Solve 5x-(3x+1)-2(4-3x)=x+6

$$5 x - ( 3 x + 1 ) - 2 ( 4 - 3 x ) = x + 6$$

Solve for x

$$x = \frac{15}{7} = 2\frac{1}{7} \approx 2.142857143$$

Steps for Solving Linear Equation

To find the opposite of 3x+1, find the opposite of each term.

$$5x-3x-1-2\left(4-3x\right)=x+6$$

Combine 5x and -3x to get 2x.

$$2x-1-2\left(4-3x\right)=x+6$$

Use the distributive property to multiply -2 by 4-3x.

$$2x-1-8+6x=x+6$$

Subtract 8 from -1 to get -9.

$$2x-9+6x=x+6$$

Combine 2x and 6x to get 8x.

$$8x-9=x+6$$

Subtract x from both sides.

$$8x-9-x=6$$

Combine 8x and -x to get 7x.

$$7x-9=6$$

Add 9 to both sides.

$$7x=6+9$$

Add 6 and 9 to get 15.

$$7x=15$$

Divide both sides by 7.

$$x=\frac{15}{7}$$