4x+6=11x-10

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Solution for 4x+6=11x-10 equation:


Simplifying
4x + 6 = 11x + -10

Reorder the terms:
6 + 4x = 11x + -10

Reorder the terms:
6 + 4x = -10 + 11x

Solving
6 + 4x = -10 + 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.
6 + 4x + -11x = -10 + 11x + -11x

Combine like terms: 4x + -11x = -7x
6 + -7x = -10 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + -7x = -10 + 0
6 + -7x = -10

Add '-6' to each side of the equation.
6 + -6 + -7x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -10 + -6
-7x = -10 + -6

Combine like terms: -10 + -6 = -16
-7x = -16

Divide each side by '-7'.
x = 2.285714286

Simplifying
x = 2.285714286

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