-413=-3x+5(-4x-32)

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Solution for -413=-3x+5(-4x-32) equation:


Simplifying
-413 = -3x + 5(-4x + -32)

Reorder the terms:
-413 = -3x + 5(-32 + -4x)
-413 = -3x + (-32 * 5 + -4x * 5)
-413 = -3x + (-160 + -20x)

Reorder the terms:
-413 = -160 + -3x + -20x

Combine like terms: -3x + -20x = -23x
-413 = -160 + -23x

Solving
-413 = -160 + -23x

Solving for variable 'x'.

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

Add '23x' to each side of the equation.
-413 + 23x = -160 + -23x + 23x

Combine like terms: -23x + 23x = 0
-413 + 23x = -160 + 0
-413 + 23x = -160

Add '413' to each side of the equation.
-413 + 413 + 23x = -160 + 413

Combine like terms: -413 + 413 = 0
0 + 23x = -160 + 413
23x = -160 + 413

Combine like terms: -160 + 413 = 253
23x = 253

Divide each side by '23'.
x = 11

Simplifying
x = 11

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