Solve 3(x-1)+2(x-5)=7(x+11)

$$3(x-1)+2(x-5)=7(x+11)$$

Solve for x

$$x=-45$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-1.

$$3x-3+2\left(x-5\right)=7\left(x+11\right)$$

Use the distributive property to multiply 2 by x-5.

$$3x-3+2x-10=7\left(x+11\right)$$

Combine 3x and 2x to get 5x.

$$5x-3-10=7\left(x+11\right)$$

Subtract 10 from -3 to get -13.

$$5x-13=7\left(x+11\right)$$

Use the distributive property to multiply 7 by x+11.

$$5x-13=7x+77$$

Subtract 7x from both sides.

$$5x-13-7x=77$$

Combine 5x and -7x to get -2x.

$$-2x-13=77$$

Add 13 to both sides.

$$-2x=77+13$$

Add 77 and 13 to get 90.

$$-2x=90$$

Divide both sides by -2.

$$x=\frac{90}{-2}$$

Divide 90 by -2 to get -45.

$$x=-45$$