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

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


Simplifying
3 + 2x = 4[x + -5(2 + -1x)]
3 + 2x = 4[x + (2 * -5 + -1x * -5)]
3 + 2x = 4[x + (-10 + 5x)]

Reorder the terms:
3 + 2x = 4[-10 + x + 5x]

Combine like terms: x + 5x = 6x
3 + 2x = 4[-10 + 6x]
3 + 2x = [-10 * 4 + 6x * 4]
3 + 2x = [-40 + 24x]

Solving
3 + 2x = -40 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
3 + 2x + -24x = -40 + 24x + -24x

Combine like terms: 2x + -24x = -22x
3 + -22x = -40 + 24x + -24x

Combine like terms: 24x + -24x = 0
3 + -22x = -40 + 0
3 + -22x = -40

Add '-3' to each side of the equation.
3 + -3 + -22x = -40 + -3

Combine like terms: 3 + -3 = 0
0 + -22x = -40 + -3
-22x = -40 + -3

Combine like terms: -40 + -3 = -43
-22x = -43

Divide each side by '-22'.
x = 1.954545455

Simplifying
x = 1.954545455

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