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

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Solution for 6-(x+7)=-3x+1 equation:


Simplifying
6 + -1(x + 7) = -3x + 1

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

Combine like terms: 6 + -7 = -1
-1 + -1x = -3x + 1

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

Solving
-1 + -1x = 1 + -3x

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
-1 + 2x = 1 + 0
-1 + 2x = 1

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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