5x-40=2(1-4x)-8x

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Solution for 5x-40=2(1-4x)-8x equation:


Simplifying
5x + -40 = 2(1 + -4x) + -8x

Reorder the terms:
-40 + 5x = 2(1 + -4x) + -8x
-40 + 5x = (1 * 2 + -4x * 2) + -8x
-40 + 5x = (2 + -8x) + -8x

Combine like terms: -8x + -8x = -16x
-40 + 5x = 2 + -16x

Solving
-40 + 5x = 2 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-40 + 5x + 16x = 2 + -16x + 16x

Combine like terms: 5x + 16x = 21x
-40 + 21x = 2 + -16x + 16x

Combine like terms: -16x + 16x = 0
-40 + 21x = 2 + 0
-40 + 21x = 2

Add '40' to each side of the equation.
-40 + 40 + 21x = 2 + 40

Combine like terms: -40 + 40 = 0
0 + 21x = 2 + 40
21x = 2 + 40

Combine like terms: 2 + 40 = 42
21x = 42

Divide each side by '21'.
x = 2

Simplifying
x = 2

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