6x+11=9x-7

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Solution for 6x+11=9x-7 equation:


Simplifying
6x + 11 = 9x + -7

Reorder the terms:
11 + 6x = 9x + -7

Reorder the terms:
11 + 6x = -7 + 9x

Solving
11 + 6x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
11 + 6x + -9x = -7 + 9x + -9x

Combine like terms: 6x + -9x = -3x
11 + -3x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + -3x = -7 + 0
11 + -3x = -7

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

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

Combine like terms: -7 + -11 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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