5x+3=11x-21

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Solution for 5x+3=11x-21 equation:


Simplifying
5x + 3 = 11x + -21

Reorder the terms:
3 + 5x = 11x + -21

Reorder the terms:
3 + 5x = -21 + 11x

Solving
3 + 5x = -21 + 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.
3 + 5x + -11x = -21 + 11x + -11x

Combine like terms: 5x + -11x = -6x
3 + -6x = -21 + 11x + -11x

Combine like terms: 11x + -11x = 0
3 + -6x = -21 + 0
3 + -6x = -21

Add '-3' to each side of the equation.
3 + -3 + -6x = -21 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -21 + -3
-6x = -21 + -3

Combine like terms: -21 + -3 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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