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

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

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

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

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

Combine x and 3x to get 4x.

$$4x+3=5-2\left(2x-5\right)$$

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

$$4x+3=5-4x+10$$

Add 5 and 10 to get 15.

$$4x+3=15-4x$$

Add 4x to both sides.

$$4x+3+4x=15$$

Combine 4x and 4x to get 8x.

$$8x+3=15$$

Subtract 3 from both sides.

$$8x=15-3$$

Subtract 3 from 15 to get 12.

$$8x=12$$

Divide both sides by 8.

$$x=\frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{3}{2}$$