12(x-3)+1=6(x+1)-5

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Solution for 12(x-3)+1=6(x+1)-5 equation: 


Simplifying
12(x + -3) + 1 = 6(x + 1) + -5

Reorder the terms:
12(-3 + x) + 1 = 6(x + 1) + -5
(-3 * 12 + x * 12) + 1 = 6(x + 1) + -5
(-36 + 12x) + 1 = 6(x + 1) + -5

Reorder the terms:
-36 + 1 + 12x = 6(x + 1) + -5

Combine like terms: -36 + 1 = -35
-35 + 12x = 6(x + 1) + -5

Reorder the terms:
-35 + 12x = 6(1 + x) + -5
-35 + 12x = (1 * 6 + x * 6) + -5
-35 + 12x = (6 + 6x) + -5

Reorder the terms:
-35 + 12x = 6 + -5 + 6x

Combine like terms: 6 + -5 = 1
-35 + 12x = 1 + 6x

Solving
-35 + 12x = 1 + 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.
-35 + 12x + -6x = 1 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-35 + 6x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
-35 + 6x = 1 + 0
-35 + 6x = 1

Add '35' to each side of the equation.
-35 + 35 + 6x = 1 + 35

Combine like terms: -35 + 35 = 0
0 + 6x = 1 + 35
6x = 1 + 35

Combine like terms: 1 + 35 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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