65=3x-1+x+2+10+2x+12

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Solution for 65=3x-1+x+2+10+2x+12 equation:


Simplifying
65 = 3x + -1 + x + 2 + 10 + 2x + 12

Reorder the terms:
65 = -1 + 2 + 10 + 12 + 3x + x + 2x

Combine like terms: -1 + 2 = 1
65 = 1 + 10 + 12 + 3x + x + 2x

Combine like terms: 1 + 10 = 11
65 = 11 + 12 + 3x + x + 2x

Combine like terms: 11 + 12 = 23
65 = 23 + 3x + x + 2x

Combine like terms: 3x + x = 4x
65 = 23 + 4x + 2x

Combine like terms: 4x + 2x = 6x
65 = 23 + 6x

Solving
65 = 23 + 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.
65 + -6x = 23 + 6x + -6x

Combine like terms: 6x + -6x = 0
65 + -6x = 23 + 0
65 + -6x = 23

Add '-65' to each side of the equation.
65 + -65 + -6x = 23 + -65

Combine like terms: 65 + -65 = 0
0 + -6x = 23 + -65
-6x = 23 + -65

Combine like terms: 23 + -65 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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