3x+7=11x-9

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Solution for 3x+7=11x-9 equation:


Simplifying
3x + 7 = 11x + -9

Reorder the terms:
7 + 3x = 11x + -9

Reorder the terms:
7 + 3x = -9 + 11x

Solving
7 + 3x = -9 + 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 + 3x + -11x = -9 + 11x + -11x

Combine like terms: 3x + -11x = -8x
7 + -8x = -9 + 11x + -11x

Combine like terms: 11x + -11x = 0
7 + -8x = -9 + 0
7 + -8x = -9

Add '-7' to each side of the equation.
7 + -7 + -8x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -9 + -7
-8x = -9 + -7

Combine like terms: -9 + -7 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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