Solve 1/2*(5x)=(5+3)*3div2+(x-3)*3div2

$$\frac{ 1 }{ 2 } \times (5x)=(5+3) \times 3 \div 2+(x-3) \times 3 \div 2$$

Solve for x

$$x = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

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

Multiply 1 and 5 to get 5.

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

Add 5 and 3 to get 8.

$$5x=8\times 3+\left(x-3\right)\times 3$$

Multiply 8 and 3 to get 24.

$$5x=24+\left(x-3\right)\times 3$$

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

$$5x=24+3x-9$$

Subtract 9 from 24 to get 15.

$$5x=15+3x$$

Subtract 3x from both sides.

$$5x-3x=15$$

Combine 5x and -3x to get 2x.

$$2x=15$$

Divide both sides by 2.

$$x=\frac{15}{2}$$