Solve 3(2x+5)=2(15-2x)

$$3 ( 2 x + 5 ) = 2 ( 15 - 2 x )$$

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 2x+5.

$$6x+15=2\left(15-2x\right)$$

Use the distributive property to multiply 2 by 15-2x.

$$6x+15=30-4x$$

Add 4x to both sides.

$$6x+15+4x=30$$

Combine 6x and 4x to get 10x.

$$10x+15=30$$

Subtract 15 from both sides.

$$10x=30-15$$

Subtract 15 from 30 to get 15.

$$10x=15$$

Divide both sides by 10.

$$x=\frac{15}{10}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

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