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

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


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

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

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

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

Solving for variable 'x'.

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

Add '(x)' to each side of the equation.
7 + (-3x) + (x) = -1 + (-1x) + (x)
7 + (-3x) + x = -1 + (-1x) + (x)

Combine like terms: (-3x) + x = -2x
7 + -2x = -1 + (-1x) + (x)
7 + -2x = -1 + (-1x) + x

Combine like terms: (-1x) + x = 0
7 + -2x = -1 + 0
7 + -2x = -1

Add '-7' to each side of the equation.
7 + -7 + -2x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -1 + -7
-2x = -1 + -7

Combine like terms: -1 + -7 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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