3(x-7)=x+1

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Solution for 3(x-7)=x+1 equation: 


Simplifying
3(x + -7) = x + 1

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

Reorder the terms:
-21 + 3x = 1 + x

Solving
-21 + 3x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-21 + 3x + -1x = 1 + x + -1x

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

Combine like terms: x + -1x = 0
-21 + 2x = 1 + 0
-21 + 2x = 1

Add '21' to each side of the equation.
-21 + 21 + 2x = 1 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = 1 + 21
2x = 1 + 21

Combine like terms: 1 + 21 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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