(x-3)+5(x-5)=-40

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Solution for (x-3)+5(x-5)=-40 equation:


Simplifying
(x + -3) + 5(x + -5) = -40

Reorder the terms:
(-3 + x) + 5(x + -5) = -40

Remove parenthesis around (-3 + x)
-3 + x + 5(x + -5) = -40

Reorder the terms:
-3 + x + 5(-5 + x) = -40
-3 + x + (-5 * 5 + x * 5) = -40
-3 + x + (-25 + 5x) = -40

Reorder the terms:
-3 + -25 + x + 5x = -40

Combine like terms: -3 + -25 = -28
-28 + x + 5x = -40

Combine like terms: x + 5x = 6x
-28 + 6x = -40

Solving
-28 + 6x = -40

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 6x = -40 + 28

Combine like terms: -28 + 28 = 0
0 + 6x = -40 + 28
6x = -40 + 28

Combine like terms: -40 + 28 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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