2[3-(-5x-4)]=20x+22

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Solution for 2[3-(-5x-4)]=20x+22 equation:


Simplifying
2[3 + -1(-5x + -4)] = 20x + 22

Reorder the terms:
2[3 + -1(-4 + -5x)] = 20x + 22
2[3 + (-4 * -1 + -5x * -1)] = 20x + 22
2[3 + (4 + 5x)] = 20x + 22

Combine like terms: 3 + 4 = 7
2[7 + 5x] = 20x + 22
[7 * 2 + 5x * 2] = 20x + 22
[14 + 10x] = 20x + 22

Reorder the terms:
14 + 10x = 22 + 20x

Solving
14 + 10x = 22 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
14 + 10x + -20x = 22 + 20x + -20x

Combine like terms: 10x + -20x = -10x
14 + -10x = 22 + 20x + -20x

Combine like terms: 20x + -20x = 0
14 + -10x = 22 + 0
14 + -10x = 22

Add '-14' to each side of the equation.
14 + -14 + -10x = 22 + -14

Combine like terms: 14 + -14 = 0
0 + -10x = 22 + -14
-10x = 22 + -14

Combine like terms: 22 + -14 = 8
-10x = 8

Divide each side by '-10'.
x = -0.8

Simplifying
x = -0.8

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