-7(x+3)-5=-6(x-1)

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Solution for -7(x+3)-5=-6(x-1) equation:


Simplifying
-7(x + 3) + -5 = -6(x + -1)

Reorder the terms:
-7(3 + x) + -5 = -6(x + -1)
(3 * -7 + x * -7) + -5 = -6(x + -1)
(-21 + -7x) + -5 = -6(x + -1)

Reorder the terms:
-21 + -5 + -7x = -6(x + -1)

Combine like terms: -21 + -5 = -26
-26 + -7x = -6(x + -1)

Reorder the terms:
-26 + -7x = -6(-1 + x)
-26 + -7x = (-1 * -6 + x * -6)
-26 + -7x = (6 + -6x)

Solving
-26 + -7x = 6 + -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.
-26 + -7x + 6x = 6 + -6x + 6x

Combine like terms: -7x + 6x = -1x
-26 + -1x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-26 + -1x = 6 + 0
-26 + -1x = 6

Add '26' to each side of the equation.
-26 + 26 + -1x = 6 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 6 + 26
-1x = 6 + 26

Combine like terms: 6 + 26 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32

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