Solve for x. 4(3x - 5) = 7(2x + 3).

x = -20.5

Step-by-step explanation:

Simplifying

4(3x + -5) = 7(2x + 3)

Reorder the terms:

4(-5 + 3x) = 7(2x + 3)

(-5 * 4 + 3x * 4) = 7(2x + 3)

(-20 + 12x) = 7(2x + 3)

Reorder the terms:

-20 + 12x = 7(3 + 2x)

-20 + 12x = (3 * 7 + 2x * 7)

-20 + 12x = (21 + 14x)

Solving

-20 + 12x = 21 + 14x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14x' to each side of the equation.

-20 + 12x + -14x = 21 + 14x + -14x

Combine like terms: 12x + -14x = -2x

-20 + -2x = 21 + 14x + -14x

Combine like terms: 14x + -14x = 0

-20 + -2x = 21 + 0

-20 + -2x = 21

Add '20' to each side of the equation.

-20 + 20 + -2x = 21 + 20

Combine like terms: -20 + 20 = 0

0 + -2x = 21 + 20

-2x = 21 + 20

Combine like terms: 21 + 20 = 41

-2x = 41

Divide each side by '-2'.

x = -20.5

the answer would be a 24

step-by-step explanation:

c=2πr=2·π·3=24