(x+4)-(2x+6)=-1

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Solution for (x+4)-(2x+6)=-1 equation:


Simplifying
(x + 4) + -1(2x + 6) = -1

Reorder the terms:
(4 + x) + -1(2x + 6) = -1

Remove parenthesis around (4 + x)
4 + x + -1(2x + 6) = -1

Reorder the terms:
4 + x + -1(6 + 2x) = -1
4 + x + (6 * -1 + 2x * -1) = -1
4 + x + (-6 + -2x) = -1

Reorder the terms:
4 + -6 + x + -2x = -1

Combine like terms: 4 + -6 = -2
-2 + x + -2x = -1

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

Solving
-2 + -1x = -1

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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