2-3(x-7)=x+1

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Solution for 2-3(x-7)=x+1 equation: 


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

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

Combine like terms: 2 + 21 = 23
23 + -3x = x + 1

Reorder the terms:
23 + -3x = 1 + x

Solving
23 + -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.
23 + -3x + -1x = 1 + x + -1x

Combine like terms: -3x + -1x = -4x
23 + -4x = 1 + x + -1x

Combine like terms: x + -1x = 0
23 + -4x = 1 + 0
23 + -4x = 1

Add '-23' to each side of the equation.
23 + -23 + -4x = 1 + -23

Combine like terms: 23 + -23 = 0
0 + -4x = 1 + -23
-4x = 1 + -23

Combine like terms: 1 + -23 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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