416=x-7(-3x-32)

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Solution for 416=x-7(-3x-32) equation:


Simplifying
416 = x + -7(-3x + -32)

Reorder the terms:
416 = x + -7(-32 + -3x)
416 = x + (-32 * -7 + -3x * -7)
416 = x + (224 + 21x)

Reorder the terms:
416 = 224 + x + 21x

Combine like terms: x + 21x = 22x
416 = 224 + 22x

Solving
416 = 224 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
416 + -22x = 224 + 22x + -22x

Combine like terms: 22x + -22x = 0
416 + -22x = 224 + 0
416 + -22x = 224

Add '-416' to each side of the equation.
416 + -416 + -22x = 224 + -416

Combine like terms: 416 + -416 = 0
0 + -22x = 224 + -416
-22x = 224 + -416

Combine like terms: 224 + -416 = -192
-22x = -192

Divide each side by '-22'.
x = 8.727272727

Simplifying
x = 8.727272727

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