-3(2x-6)-5(-5x+4)=-40

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Solution for -3(2x-6)-5(-5x+4)=-40 equation:


Simplifying
-3(2x + -6) + -5(-5x + 4) = -40

Reorder the terms:
-3(-6 + 2x) + -5(-5x + 4) = -40
(-6 * -3 + 2x * -3) + -5(-5x + 4) = -40
(18 + -6x) + -5(-5x + 4) = -40

Reorder the terms:
18 + -6x + -5(4 + -5x) = -40
18 + -6x + (4 * -5 + -5x * -5) = -40
18 + -6x + (-20 + 25x) = -40

Reorder the terms:
18 + -20 + -6x + 25x = -40

Combine like terms: 18 + -20 = -2
-2 + -6x + 25x = -40

Combine like terms: -6x + 25x = 19x
-2 + 19x = -40

Solving
-2 + 19x = -40

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 19x = -40 + 2

Combine like terms: -2 + 2 = 0
0 + 19x = -40 + 2
19x = -40 + 2

Combine like terms: -40 + 2 = -38
19x = -38

Divide each side by '19'.
x = -2

Simplifying
x = -2

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