Solve 2(x+7)-5-3x=6+3(3-x)

$$2 ( x + 7 ) - 5 - 3 x = 6 + 3 ( 3 - x )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+7.

$$2x+14-5-3x=6+3\left(3-x\right)$$

Subtract 5 from 14 to get 9.

$$2x+9-3x=6+3\left(3-x\right)$$

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

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

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

$$-x+9=6+9-3x$$

Add 6 and 9 to get 15.

$$-x+9=15-3x$$

Add 3x to both sides.

$$-x+9+3x=15$$

Combine -x and 3x to get 2x.

$$2x+9=15$$

Subtract 9 from both sides.

$$2x=15-9$$

Subtract 9 from 15 to get 6.

$$2x=6$$

Divide both sides by 2.

$$x=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$x=3$$