3(x+7)=11x-11

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Solution for 3(x+7)=11x-11 equation:


Simplifying
3(x + 7) = 11x + -11

Reorder the terms:
3(7 + x) = 11x + -11
(7 * 3 + x * 3) = 11x + -11
(21 + 3x) = 11x + -11

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

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

Combine like terms: 3x + -11x = -8x
21 + -8x = -11 + 11x + -11x

Combine like terms: 11x + -11x = 0
21 + -8x = -11 + 0
21 + -8x = -11

Add '-21' to each side of the equation.
21 + -21 + -8x = -11 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = -11 + -21
-8x = -11 + -21

Combine like terms: -11 + -21 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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