-6(x+5)-(-7x-9)=7

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Solution for -6(x+5)-(-7x-9)=7 equation:


Simplifying
-6(x + 5) + -1(-7x + -9) = 7

Reorder the terms:
-6(5 + x) + -1(-7x + -9) = 7
(5 * -6 + x * -6) + -1(-7x + -9) = 7
(-30 + -6x) + -1(-7x + -9) = 7

Reorder the terms:
-30 + -6x + -1(-9 + -7x) = 7
-30 + -6x + (-9 * -1 + -7x * -1) = 7
-30 + -6x + (9 + 7x) = 7

Reorder the terms:
-30 + 9 + -6x + 7x = 7

Combine like terms: -30 + 9 = -21
-21 + -6x + 7x = 7

Combine like terms: -6x + 7x = 1x
-21 + 1x = 7

Solving
-21 + 1x = 7

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 1x = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = 7 + 21
1x = 7 + 21

Combine like terms: 7 + 21 = 28
1x = 28

Divide each side by '1'.
x = 28

Simplifying
x = 28

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