Solve 10x-(3x-4)=4(x+1)+9

$$10x-(3x-4)=4(x+1)+9$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

To find the opposite of 3x-4, find the opposite of each term.

$$10x-3x-\left(-4\right)=4\left(x+1\right)+9$$

The opposite of -4 is 4.

$$10x-3x+4=4\left(x+1\right)+9$$

Combine 10x and -3x to get 7x.

$$7x+4=4\left(x+1\right)+9$$

Use the distributive property to multiply 4 by x+1.

$$7x+4=4x+4+9$$

Add 4 and 9 to get 13.

$$7x+4=4x+13$$

Subtract 4x from both sides.

$$7x+4-4x=13$$

Combine 7x and -4x to get 3x.

$$3x+4=13$$

Subtract 4 from both sides.

$$3x=13-4$$

Subtract 4 from 13 to get 9.

$$3x=9$$

Divide both sides by 3.

$$x=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$x=3$$