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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$10x-10+3\left(x+1\right)=2\left(x+2\right)$$

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

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

Combine 10x and 3x to get 13x.

$$13x-10+3=2\left(x+2\right)$$

Add -10 and 3 to get -7.

$$13x-7=2\left(x+2\right)$$

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

$$13x-7=2x+4$$

Subtract 2x from both sides.

$$13x-7-2x=4$$

Combine 13x and -2x to get 11x.

$$11x-7=4$$

Add 7 to both sides.

$$11x=4+7$$

Add 4 and 7 to get 11.

$$11x=11$$

Divide both sides by 11.

$$x=\frac{11}{11}$$

Divide 11 by 11 to get 1.

$$x=1$$