4x+21=11x-35

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Solution for 4x+21=11x-35 equation:


Simplifying
4x + 21 = 11x + -35

Reorder the terms:
21 + 4x = 11x + -35

Reorder the terms:
21 + 4x = -35 + 11x

Solving
21 + 4x = -35 + 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 = -35 + 11x + -11x

Combine like terms: 4x + -11x = -7x
21 + -7x = -35 + 11x + -11x

Combine like terms: 11x + -11x = 0
21 + -7x = -35 + 0
21 + -7x = -35

Add '-21' to each side of the equation.
21 + -21 + -7x = -35 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = -35 + -21
-7x = -35 + -21

Combine like terms: -35 + -21 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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