Solve 4(x-9)=3(-x+2)

$$4(x-9)=3(-x+2)$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-9.

$$4x-36=3\left(-x+2\right)$$

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

$$4x-36=3\left(-x\right)+6$$

Subtract 3\left(-x\right) from both sides.

$$4x-36-3\left(-x\right)=6$$

Multiply -1 and 3 to get -3.

$$4x-36-3\left(-1\right)x=6$$

Multiply -3 and -1 to get 3.

$$4x-36+3x=6$$

Combine 4x and 3x to get 7x.

$$7x-36=6$$

Add 36 to both sides.

$$7x=6+36$$

Add 6 and 36 to get 42.

$$7x=42$$

Divide both sides by 7.

$$x=\frac{42}{7}$$

Divide 42 by 7 to get 6.

$$x=6$$