2[1-(-5x-2)]=50x+22

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Solution for 2[1-(-5x-2)]=50x+22 equation:


Simplifying
2[1 + -1(-5x + -2)] = 50x + 22

Reorder the terms:
2[1 + -1(-2 + -5x)] = 50x + 22
2[1 + (-2 * -1 + -5x * -1)] = 50x + 22
2[1 + (2 + 5x)] = 50x + 22

Combine like terms: 1 + 2 = 3
2[3 + 5x] = 50x + 22
[3 * 2 + 5x * 2] = 50x + 22
[6 + 10x] = 50x + 22

Reorder the terms:
6 + 10x = 22 + 50x

Solving
6 + 10x = 22 + 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
6 + 10x + -50x = 22 + 50x + -50x

Combine like terms: 10x + -50x = -40x
6 + -40x = 22 + 50x + -50x

Combine like terms: 50x + -50x = 0
6 + -40x = 22 + 0
6 + -40x = 22

Add '-6' to each side of the equation.
6 + -6 + -40x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + -40x = 22 + -6
-40x = 22 + -6

Combine like terms: 22 + -6 = 16
-40x = 16

Divide each side by '-40'.
x = -0.4

Simplifying
x = -0.4

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