3x+4=11x-6

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Solution for 3x+4=11x-6 equation:


Simplifying
3x + 4 = 11x + -6

Reorder the terms:
4 + 3x = 11x + -6

Reorder the terms:
4 + 3x = -6 + 11x

Solving
4 + 3x = -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.
4 + 3x + -11x = -6 + 11x + -11x

Combine like terms: 3x + -11x = -8x
4 + -8x = -6 + 11x + -11x

Combine like terms: 11x + -11x = 0
4 + -8x = -6 + 0
4 + -8x = -6

Add '-4' to each side of the equation.
4 + -4 + -8x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -6 + -4
-8x = -6 + -4

Combine like terms: -6 + -4 = -10
-8x = -10

Divide each side by '-8'.
x = 1.25

Simplifying
x = 1.25

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