Solve the equation for x. show each step of the solution name the justification for each step of the solution 9/2(8-x)+36=102-5/2(3x+24)

Hi There!

Solve: 9/2(8 - x) + 36 = 102 - 5/2(3x + 24)

Distribute: (9/2 * 8) + (9/2 * -x) + 36 = 102 + -15/2x + (-60)

Simplify: 36 + -9/2x + 36 = 102 + -15/2 - 60

Combine Like Terms: -9/2x + (36 + 36) = -15/2x + (-60 + 102)

Simplify: -9/2 + 72 = -15/2x + 42

Add 15/2x: -9/2x + 15/2x + 72 = -15/2x + 15/2x + 42

Simplify: 3x + 72 = 42

Subtract 72: 3x + 72 - 72 = 42 - 72

Simplify: 3x = -30

Divide by 3: 3x/3 = -30/3

Simplify: x = -10

Hope This Helps :)

it will be a cylinder. with a diameter of 8 and 4 single pieces high

step-by-step explanation: