x+11=3x-7

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Solution for x+11=3x-7 equation:


Simplifying
x + 11 = 3x + -7

Reorder the terms:
11 + x = 3x + -7

Reorder the terms:
11 + x = -7 + 3x

Solving
11 + x = -7 + 3x

Solving for variable 'x'.

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

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

Combine like terms: x + -3x = -2x
11 + -2x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -2x = -7 + 0
11 + -2x = -7

Add '-11' to each side of the equation.
11 + -11 + -2x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -7 + -11
-2x = -7 + -11

Combine like terms: -7 + -11 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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