6x-3(x-17)=21

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Solution for 6x-3(x-17)=21 equation:


Simplifying
6x + -3(x + -17) = 21

Reorder the terms:
6x + -3(-17 + x) = 21
6x + (-17 * -3 + x * -3) = 21
6x + (51 + -3x) = 21

Reorder the terms:
51 + 6x + -3x = 21

Combine like terms: 6x + -3x = 3x
51 + 3x = 21

Solving
51 + 3x = 21

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + 3x = 21 + -51

Combine like terms: 51 + -51 = 0
0 + 3x = 21 + -51
3x = 21 + -51

Combine like terms: 21 + -51 = -30
3x = -30

Divide each side by '3'.
x = -10

Simplifying
x = -10

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