15(2x+1)-2(x-3)+1=8(x+3)+39

Solution for 15(2x+1)-2(x-3)+1=8(x+3)+39 equation:

Simplifying
15(2x + 1) + -2(x + -3) + 1 = 8(x + 3) + 39

Reorder the terms:
15(1 + 2x) + -2(x + -3) + 1 = 8(x + 3) + 39
(1 * 15 + 2x * 15) + -2(x + -3) + 1 = 8(x + 3) + 39
(15 + 30x) + -2(x + -3) + 1 = 8(x + 3) + 39

Reorder the terms:
15 + 30x + -2(-3 + x) + 1 = 8(x + 3) + 39
15 + 30x + (-3 * -2 + x * -2) + 1 = 8(x + 3) + 39
15 + 30x + (6 + -2x) + 1 = 8(x + 3) + 39

Reorder the terms:
15 + 6 + 1 + 30x + -2x = 8(x + 3) + 39

Combine like terms: 15 + 6 = 21
21 + 1 + 30x + -2x = 8(x + 3) + 39

Combine like terms: 21 + 1 = 22
22 + 30x + -2x = 8(x + 3) + 39

Combine like terms: 30x + -2x = 28x
22 + 28x = 8(x + 3) + 39

Reorder the terms:
22 + 28x = 8(3 + x) + 39
22 + 28x = (3 * 8 + x * 8) + 39
22 + 28x = (24 + 8x) + 39

Reorder the terms:
22 + 28x = 24 + 39 + 8x

Combine like terms: 24 + 39 = 63
22 + 28x = 63 + 8x

Solving
22 + 28x = 63 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
22 + 28x + -8x = 63 + 8x + -8x

Combine like terms: 28x + -8x = 20x
22 + 20x = 63 + 8x + -8x

Combine like terms: 8x + -8x = 0
22 + 20x = 63 + 0
22 + 20x = 63

Add '-22' to each side of the equation.
22 + -22 + 20x = 63 + -22

Combine like terms: 22 + -22 = 0
0 + 20x = 63 + -22
20x = 63 + -22

Combine like terms: 63 + -22 = 41
20x = 41

Divide each side by '20'.
x = 2.05

Simplifying
x = 2.05