Solve (2x+8)*3=(4x-3)*4

$$(2x+8) \times 3=(4x-3) \times 4$$

Solve for x

$$x = \frac{18}{5} = 3\frac{3}{5} = 3.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2x+8 by 3.

$$6x+24=\left(4x-3\right)\times 4$$

Use the distributive property to multiply 4x-3 by 4.

$$6x+24=16x-12$$

Subtract 16x from both sides.

$$6x+24-16x=-12$$

Combine 6x and -16x to get -10x.

$$-10x+24=-12$$

Subtract 24 from both sides.

$$-10x=-12-24$$

Subtract 24 from -12 to get -36.

$$-10x=-36$$

Divide both sides by -10.

$$x=\frac{-36}{-10}$$

Reduce the fraction \frac{-36}{-10} to lowest terms by extracting and canceling out -2.

$$x=\frac{18}{5}$$