3x+6=4x-2+11

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Solution for 3x+6=4x-2+11 equation:


Simplifying
3x + 6 = 4x + -2 + 11

Reorder the terms:
6 + 3x = 4x + -2 + 11

Reorder the terms:
6 + 3x = -2 + 11 + 4x

Combine like terms: -2 + 11 = 9
6 + 3x = 9 + 4x

Solving
6 + 3x = 9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = 9 + 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 9 + 0
6 + -1x = 9

Add '-6' to each side of the equation.
6 + -6 + -1x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 9 + -6
-1x = 9 + -6

Combine like terms: 9 + -6 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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