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

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

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

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

$$2x-6+5x-5=3\left(x+1\right)$$

Combine 2x and 5x to get 7x.

$$7x-6-5=3\left(x+1\right)$$

Subtract 5 from -6 to get -11.

$$7x-11=3\left(x+1\right)$$

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

$$7x-11=3x+3$$

Subtract 3x from both sides.

$$7x-11-3x=3$$

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

$$4x-11=3$$

Add 11 to both sides.

$$4x=3+11$$

Add 3 and 11 to get 14.

$$4x=14$$

Divide both sides by 4.

$$x=\frac{14}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{7}{2}$$