3x+7(2x-6)=21-4x

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Solution for 3x+7(2x-6)=21-4x equation:


Simplifying
3x + 7(2x + -6) = 21 + -4x

Reorder the terms:
3x + 7(-6 + 2x) = 21 + -4x
3x + (-6 * 7 + 2x * 7) = 21 + -4x
3x + (-42 + 14x) = 21 + -4x

Reorder the terms:
-42 + 3x + 14x = 21 + -4x

Combine like terms: 3x + 14x = 17x
-42 + 17x = 21 + -4x

Solving
-42 + 17x = 21 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
-42 + 17x + 4x = 21 + -4x + 4x

Combine like terms: 17x + 4x = 21x
-42 + 21x = 21 + -4x + 4x

Combine like terms: -4x + 4x = 0
-42 + 21x = 21 + 0
-42 + 21x = 21

Add '42' to each side of the equation.
-42 + 42 + 21x = 21 + 42

Combine like terms: -42 + 42 = 0
0 + 21x = 21 + 42
21x = 21 + 42

Combine like terms: 21 + 42 = 63
21x = 63

Divide each side by '21'.
x = 3

Simplifying
x = 3

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