(3x-1)-(7x-9)=-2x-6

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Solution for (3x-1)-(7x-9)=-2x-6 equation:


Simplifying
(3x + -1) + -1(7x + -9) = -2x + -6

Reorder the terms:
(-1 + 3x) + -1(7x + -9) = -2x + -6

Remove parenthesis around (-1 + 3x)
-1 + 3x + -1(7x + -9) = -2x + -6

Reorder the terms:
-1 + 3x + -1(-9 + 7x) = -2x + -6
-1 + 3x + (-9 * -1 + 7x * -1) = -2x + -6
-1 + 3x + (9 + -7x) = -2x + -6

Reorder the terms:
-1 + 9 + 3x + -7x = -2x + -6

Combine like terms: -1 + 9 = 8
8 + 3x + -7x = -2x + -6

Combine like terms: 3x + -7x = -4x
8 + -4x = -2x + -6

Reorder the terms:
8 + -4x = -6 + -2x

Solving
8 + -4x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + -4x + 2x = -6 + -2x + 2x

Combine like terms: -4x + 2x = -2x
8 + -2x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + -2x = -6 + 0
8 + -2x = -6

Add '-8' to each side of the equation.
8 + -8 + -2x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -6 + -8
-2x = -6 + -8

Combine like terms: -6 + -8 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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