7(-x-2)-(x-5)=30

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Solution for 7(-x-2)-(x-5)=30 equation:


Simplifying
7(-1x + -2) + -1(x + -5) = 30

Reorder the terms:
7(-2 + -1x) + -1(x + -5) = 30
(-2 * 7 + -1x * 7) + -1(x + -5) = 30
(-14 + -7x) + -1(x + -5) = 30

Reorder the terms:
-14 + -7x + -1(-5 + x) = 30
-14 + -7x + (-5 * -1 + x * -1) = 30
-14 + -7x + (5 + -1x) = 30

Reorder the terms:
-14 + 5 + -7x + -1x = 30

Combine like terms: -14 + 5 = -9
-9 + -7x + -1x = 30

Combine like terms: -7x + -1x = -8x
-9 + -8x = 30

Solving
-9 + -8x = 30

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -8x = 30 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = 30 + 9
-8x = 30 + 9

Combine like terms: 30 + 9 = 39
-8x = 39

Divide each side by '-8'.
x = -4.875

Simplifying
x = -4.875

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