Question

011. Solve the following equation:
3x + 17 = 2(4x + 5) + 32​

Answer 1

Step-by-step explanation:

011. Solve the following equationSimplifying

4x + -5 = 3x + 17

Reorder the terms:

-5 + 4x = 3x + 17

Reorder the terms:

-5 + 4x = 17 + 3x

Solving

-5 + 4x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

-5 + 4x + -3x = 17 + 3x + -3x

Combine like terms: 4x + -3x = 1x

-5 + 1x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0

-5 + 1x = 17 + 0

-5 + 1x = 17

Add '5' to each side of the equation.

-5 + 5 + 1x = 17 + 5

Combine like terms: -5 + 5 = 0

0 + 1x = 17 + 5

1x = 17 + 5

Combine like terms: 17 + 5 = 22

1x = 22

Divide each side by '1'.

x = 22

Simplifying

x = 22

Answer 2

3x +17=8x+42
3x+8x=17+42
11x=59
x=59/11
x=5.36 (approximately)