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

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


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

Reorder the terms:
6(2 + x) + x = 3(x + 5) + 6
(2 * 6 + x * 6) + x = 3(x + 5) + 6
(12 + 6x) + x = 3(x + 5) + 6

Combine like terms: 6x + x = 7x
12 + 7x = 3(x + 5) + 6

Reorder the terms:
12 + 7x = 3(5 + x) + 6
12 + 7x = (5 * 3 + x * 3) + 6
12 + 7x = (15 + 3x) + 6

Reorder the terms:
12 + 7x = 15 + 6 + 3x

Combine like terms: 15 + 6 = 21
12 + 7x = 21 + 3x

Solving
12 + 7x = 21 + 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.
12 + 7x + -3x = 21 + 3x + -3x

Combine like terms: 7x + -3x = 4x
12 + 4x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 4x = 21 + 0
12 + 4x = 21

Add '-12' to each side of the equation.
12 + -12 + 4x = 21 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 21 + -12
4x = 21 + -12

Combine like terms: 21 + -12 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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