4x-6+7=x-5+12

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Solution for 4x-6+7=x-5+12 equation: 


Simplifying
4x + -6 + 7 = x + -5 + 12

Reorder the terms:
-6 + 7 + 4x = x + -5 + 12

Combine like terms: -6 + 7 = 1
1 + 4x = x + -5 + 12

Reorder the terms:
1 + 4x = -5 + 12 + x

Combine like terms: -5 + 12 = 7
1 + 4x = 7 + x

Solving
1 + 4x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
1 + 4x + -1x = 7 + x + -1x

Combine like terms: 4x + -1x = 3x
1 + 3x = 7 + x + -1x

Combine like terms: x + -1x = 0
1 + 3x = 7 + 0
1 + 3x = 7

Add '-1' to each side of the equation.
1 + -1 + 3x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 7 + -1
3x = 7 + -1

Combine like terms: 7 + -1 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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