3(X+5)+4(2X-8)=5(2X+1)

Solution for 3(X+5)+4(2X-8)=5(2X+1) equation:

Simplifying
3(X + 5) + 4(2X + -8) = 5(2X + 1)

Reorder the terms:
3(5 + X) + 4(2X + -8) = 5(2X + 1)
(5 * 3 + X * 3) + 4(2X + -8) = 5(2X + 1)
(15 + 3X) + 4(2X + -8) = 5(2X + 1)

Reorder the terms:
15 + 3X + 4(-8 + 2X) = 5(2X + 1)
15 + 3X + (-8 * 4 + 2X * 4) = 5(2X + 1)
15 + 3X + (-32 + 8X) = 5(2X + 1)

Reorder the terms:
15 + -32 + 3X + 8X = 5(2X + 1)

Combine like terms: 15 + -32 = -17
-17 + 3X + 8X = 5(2X + 1)

Combine like terms: 3X + 8X = 11X
-17 + 11X = 5(2X + 1)

Reorder the terms:
-17 + 11X = 5(1 + 2X)
-17 + 11X = (1 * 5 + 2X * 5)
-17 + 11X = (5 + 10X)

Solving
-17 + 11X = 5 + 10X

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
-17 + 11X + -10X = 5 + 10X + -10X

Combine like terms: 11X + -10X = 1X
-17 + 1X = 5 + 10X + -10X

Combine like terms: 10X + -10X = 0
-17 + 1X = 5 + 0
-17 + 1X = 5

Add '17' to each side of the equation.
-17 + 17 + 1X = 5 + 17

Combine like terms: -17 + 17 = 0
0 + 1X = 5 + 17
1X = 5 + 17

Combine like terms: 5 + 17 = 22
1X = 22

Divide each side by '1'.
X = 22

Simplifying
X = 22