Solve the following equation.
3(2x + 5) >2(x + 6)

-0.75

Step-by-step explanation:

Simplifying

3(2x + 5) = 2(x + 6)

Reorder the terms:

3(5 + 2x) = 2(x + 6)

(5 * 3 + 2x * 3) = 2(x + 6)

(15 + 6x) = 2(x + 6)

Reorder the terms:

15 + 6x = 2(6 + x)

15 + 6x = (6 * 2 + x * 2)

15 + 6x = (12 + 2x)

Solving

15 + 6x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.

15 + 6x + -2x = 12 + 2x + -2x

Combine like terms: 6x + -2x = 4x

15 + 4x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0

15 + 4x = 12 + 0

15 + 4x = 12

Add '-15' to each side of the equation.

15 + -15 + 4x = 12 + -15

Combine like terms: 15 + -15 = 0

0 + 4x = 12 + -15

4x = 12 + -15

Combine like terms: 12 + -15 = -3

4x = -3

Divide each side by '4'.

x = -0.75

Simplifying

x = -0.75

step-by-step explanation:

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9