(-7x-1)+3=-6(x+2)

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Solution for (-7x-1)+3=-6(x+2) equation:


Simplifying
(-7x + -1) + 3 = -6(x + 2)

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

Remove parenthesis around (-1 + -7x)
-1 + -7x + 3 = -6(x + 2)

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

Combine like terms: -1 + 3 = 2
2 + -7x = -6(x + 2)

Reorder the terms:
2 + -7x = -6(2 + x)
2 + -7x = (2 * -6 + x * -6)
2 + -7x = (-12 + -6x)

Solving
2 + -7x = -12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + -7x + 6x = -12 + -6x + 6x

Combine like terms: -7x + 6x = -1x
2 + -1x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + -1x = -12 + 0
2 + -1x = -12

Add '-2' to each side of the equation.
2 + -2 + -1x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -12 + -2
-1x = -12 + -2

Combine like terms: -12 + -2 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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