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

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Solution for 10+4x+4[2x+(3-x)]=5+2[5+(x-2)] equation:


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

Remove parenthesis around (3 + -1x)
10 + 4x + 4[2x + 3 + -1x] = 5 + 2[5 + (x + -2)]

Reorder the terms:
10 + 4x + 4[3 + 2x + -1x] = 5 + 2[5 + (x + -2)]

Combine like terms: 2x + -1x = 1x
10 + 4x + 4[3 + 1x] = 5 + 2[5 + (x + -2)]
10 + 4x + [3 * 4 + 1x * 4] = 5 + 2[5 + (x + -2)]
10 + 4x + [12 + 4x] = 5 + 2[5 + (x + -2)]

Reorder the terms:
10 + 12 + 4x + 4x = 5 + 2[5 + (x + -2)]

Combine like terms: 10 + 12 = 22
22 + 4x + 4x = 5 + 2[5 + (x + -2)]

Combine like terms: 4x + 4x = 8x
22 + 8x = 5 + 2[5 + (x + -2)]

Reorder the terms:
22 + 8x = 5 + 2[5 + (-2 + x)]

Remove parenthesis around (-2 + x)
22 + 8x = 5 + 2[5 + -2 + x]

Combine like terms: 5 + -2 = 3
22 + 8x = 5 + 2[3 + x]
22 + 8x = 5 + [3 * 2 + x * 2]
22 + 8x = 5 + [6 + 2x]

Combine like terms: 5 + 6 = 11
22 + 8x = 11 + 2x

Solving
22 + 8x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
22 + 8x + -2x = 11 + 2x + -2x

Combine like terms: 8x + -2x = 6x
22 + 6x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + 6x = 11 + 0
22 + 6x = 11

Add '-22' to each side of the equation.
22 + -22 + 6x = 11 + -22

Combine like terms: 22 + -22 = 0
0 + 6x = 11 + -22
6x = 11 + -22

Combine like terms: 11 + -22 = -11
6x = -11

Divide each side by '6'.
x = -1.833333333

Simplifying
x = -1.833333333

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