Solve (2(x+10)+3)div3*2.5=4x+0.5

$$(2(x+10)+3) \div 3 \times 2.5=4x+0.5$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$\left(2\left(x+10\right)+3\right)\times 2.5=12x+1.5$$

Use the distributive property to multiply 2 by x+10.

$$\left(2x+20+3\right)\times 2.5=12x+1.5$$

Add 20 and 3 to get 23.

$$\left(2x+23\right)\times 2.5=12x+1.5$$

Use the distributive property to multiply 2x+23 by 2.5.

$$5x+57.5=12x+1.5$$

Subtract 12x from both sides.

$$5x+57.5-12x=1.5$$

Combine 5x and -12x to get -7x.

$$-7x+57.5=1.5$$

Subtract 57.5 from both sides.

$$-7x=1.5-57.5$$

Subtract 57.5 from 1.5 to get -56.

$$-7x=-56$$

Divide both sides by -7.

$$x=\frac{-56}{-7}$$

Divide -56 by -7 to get 8.

$$x=8$$