4x+21=11x-21

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Solution for 4x+21=11x-21 equation:


Simplifying
4x + 21 = 11x + -21

Reorder the terms:
21 + 4x = 11x + -21

Reorder the terms:
21 + 4x = -21 + 11x

Solving
21 + 4x = -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.
21 + 4x + -11x = -21 + 11x + -11x

Combine like terms: 4x + -11x = -7x
21 + -7x = -21 + 11x + -11x

Combine like terms: 11x + -11x = 0
21 + -7x = -21 + 0
21 + -7x = -21

Add '-21' to each side of the equation.
21 + -21 + -7x = -21 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = -21 + -21
-7x = -21 + -21

Combine like terms: -21 + -21 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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