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

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Solution for 3(x+5)+6=5+5(x+2) equation:


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

Reorder the terms:
3(5 + x) + 6 = 5 + 5(x + 2)
(5 * 3 + x * 3) + 6 = 5 + 5(x + 2)
(15 + 3x) + 6 = 5 + 5(x + 2)

Reorder the terms:
15 + 6 + 3x = 5 + 5(x + 2)

Combine like terms: 15 + 6 = 21
21 + 3x = 5 + 5(x + 2)

Reorder the terms:
21 + 3x = 5 + 5(2 + x)
21 + 3x = 5 + (2 * 5 + x * 5)
21 + 3x = 5 + (10 + 5x)

Combine like terms: 5 + 10 = 15
21 + 3x = 15 + 5x

Solving
21 + 3x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
21 + 3x + -5x = 15 + 5x + -5x

Combine like terms: 3x + -5x = -2x
21 + -2x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -2x = 15 + 0
21 + -2x = 15

Add '-21' to each side of the equation.
21 + -21 + -2x = 15 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 15 + -21
-2x = 15 + -21

Combine like terms: 15 + -21 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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