-7(x-3)-(-3x-9)=-5x

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Solution for -7(x-3)-(-3x-9)=-5x equation:


Simplifying
-7(x + -3) + -1(-3x + -9) = -5x

Reorder the terms:
-7(-3 + x) + -1(-3x + -9) = -5x
(-3 * -7 + x * -7) + -1(-3x + -9) = -5x
(21 + -7x) + -1(-3x + -9) = -5x

Reorder the terms:
21 + -7x + -1(-9 + -3x) = -5x
21 + -7x + (-9 * -1 + -3x * -1) = -5x
21 + -7x + (9 + 3x) = -5x

Reorder the terms:
21 + 9 + -7x + 3x = -5x

Combine like terms: 21 + 9 = 30
30 + -7x + 3x = -5x

Combine like terms: -7x + 3x = -4x
30 + -4x = -5x

Solving
30 + -4x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
30 + -4x + 5x = -5x + 5x

Combine like terms: -4x + 5x = 1x
30 + 1x = -5x + 5x

Combine like terms: -5x + 5x = 0
30 + 1x = 0

Add '-30' to each side of the equation.
30 + -30 + 1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = 0 + -30
1x = 0 + -30

Combine like terms: 0 + -30 = -30
1x = -30

Divide each side by '1'.
x = -30

Simplifying
x = -30

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