x-2(3x+7)=1

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


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

Reorder the terms:
x + -2(7 + 3x) = 1
x + (7 * -2 + 3x * -2) = 1
x + (-14 + -6x) = 1

Reorder the terms:
-14 + x + -6x = 1

Combine like terms: x + -6x = -5x
-14 + -5x = 1

Solving
-14 + -5x = 1

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + -5x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + -5x = 1 + 14
-5x = 1 + 14

Combine like terms: 1 + 14 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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