4+3[2x+4(5x+2)]=226

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Solution for 4+3[2x+4(5x+2)]=226 equation:


Simplifying
4 + 3[2x + 4(5x + 2)] = 226

Reorder the terms:
4 + 3[2x + 4(2 + 5x)] = 226
4 + 3[2x + (2 * 4 + 5x * 4)] = 226
4 + 3[2x + (8 + 20x)] = 226

Reorder the terms:
4 + 3[8 + 2x + 20x] = 226

Combine like terms: 2x + 20x = 22x
4 + 3[8 + 22x] = 226
4 + [8 * 3 + 22x * 3] = 226
4 + [24 + 66x] = 226

Combine like terms: 4 + 24 = 28
28 + 66x = 226

Solving
28 + 66x = 226

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 66x = 226 + -28

Combine like terms: 28 + -28 = 0
0 + 66x = 226 + -28
66x = 226 + -28

Combine like terms: 226 + -28 = 198
66x = 198

Divide each side by '66'.
x = 3

Simplifying
x = 3

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