3x+6=13x-11

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Solution for 3x+6=13x-11 equation:


Simplifying
3x + 6 = 13x + -11

Reorder the terms:
6 + 3x = 13x + -11

Reorder the terms:
6 + 3x = -11 + 13x

Solving
6 + 3x = -11 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
6 + 3x + -13x = -11 + 13x + -13x

Combine like terms: 3x + -13x = -10x
6 + -10x = -11 + 13x + -13x

Combine like terms: 13x + -13x = 0
6 + -10x = -11 + 0
6 + -10x = -11

Add '-6' to each side of the equation.
6 + -6 + -10x = -11 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = -11 + -6
-10x = -11 + -6

Combine like terms: -11 + -6 = -17
-10x = -17

Divide each side by '-10'.
x = 1.7

Simplifying
x = 1.7

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