2x+7=11x-6

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Solution for 2x+7=11x-6 equation:


Simplifying
2x + 7 = 11x + -6

Reorder the terms:
7 + 2x = 11x + -6

Reorder the terms:
7 + 2x = -6 + 11x

Solving
7 + 2x = -6 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
7 + 2x + -11x = -6 + 11x + -11x

Combine like terms: 2x + -11x = -9x
7 + -9x = -6 + 11x + -11x

Combine like terms: 11x + -11x = 0
7 + -9x = -6 + 0
7 + -9x = -6

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

Combine like terms: 7 + -7 = 0
0 + -9x = -6 + -7
-9x = -6 + -7

Combine like terms: -6 + -7 = -13
-9x = -13

Divide each side by '-9'.
x = 1.444444444

Simplifying
x = 1.444444444

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