Solve 21+7x=2(x-3)+48-4(3-x)

$$21 + 7 x = 2 ( x - 3 ) + 48 - 4 ( 3 - x )$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

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

$$21+7x=2x-6+48-4\left(3-x\right)$$

Add -6 and 48 to get 42.

$$21+7x=2x+42-4\left(3-x\right)$$

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

$$21+7x=2x+42-12+4x$$

Subtract 12 from 42 to get 30.

$$21+7x=2x+30+4x$$

Combine 2x and 4x to get 6x.

$$21+7x=6x+30$$

Subtract 6x from both sides.

$$21+7x-6x=30$$

Combine 7x and -6x to get x.

$$21+x=30$$

Subtract 21 from both sides.

$$x=30-21$$

Subtract 21 from 30 to get 9.

$$x=9$$