3(x-7)-x=2y-21

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Solution for 3(x-7)-x=2y-21 equation:


Simplifying
3(x + -7) + -1x = 2y + -21

Reorder the terms:
3(-7 + x) + -1x = 2y + -21
(-7 * 3 + x * 3) + -1x = 2y + -21
(-21 + 3x) + -1x = 2y + -21

Combine like terms: 3x + -1x = 2x
-21 + 2x = 2y + -21

Reorder the terms:
-21 + 2x = -21 + 2y

Add '21' to each side of the equation.
-21 + 21 + 2x = -21 + 21 + 2y

Combine like terms: -21 + 21 = 0
0 + 2x = -21 + 21 + 2y
2x = -21 + 21 + 2y

Combine like terms: -21 + 21 = 0
2x = 0 + 2y
2x = 2y

Solving
2x = 2y

Solving for variable 'x'.

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

Divide each side by '2'.
x = y

Simplifying
x = y

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