3(x+1)+7=6(x+1)+6

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Solution for 3(x+1)+7=6(x+1)+6 equation: 


Simplifying
3(x + 1) + 7 = 6(x + 1) + 6

Reorder the terms:
3(1 + x) + 7 = 6(x + 1) + 6
(1 * 3 + x * 3) + 7 = 6(x + 1) + 6
(3 + 3x) + 7 = 6(x + 1) + 6

Reorder the terms:
3 + 7 + 3x = 6(x + 1) + 6

Combine like terms: 3 + 7 = 10
10 + 3x = 6(x + 1) + 6

Reorder the terms:
10 + 3x = 6(1 + x) + 6
10 + 3x = (1 * 6 + x * 6) + 6
10 + 3x = (6 + 6x) + 6

Reorder the terms:
10 + 3x = 6 + 6 + 6x

Combine like terms: 6 + 6 = 12
10 + 3x = 12 + 6x

Solving
10 + 3x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 3x + -6x = 12 + 6x + -6x

Combine like terms: 3x + -6x = -3x
10 + -3x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -3x = 12 + 0
10 + -3x = 12

Add '-10' to each side of the equation.
10 + -10 + -3x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 12 + -10
-3x = 12 + -10

Combine like terms: 12 + -10 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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