2+3[5-4x]=17+4[4x-1]

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Solution for 2+3[5-4x]=17+4[4x-1] equation:


Simplifying
2 + 3[5 + -4x] = 17 + 4[4x + -1]
2 + [5 * 3 + -4x * 3] = 17 + 4[4x + -1]
2 + [15 + -12x] = 17 + 4[4x + -1]

Combine like terms: 2 + 15 = 17
17 + -12x = 17 + 4[4x + -1]

Reorder the terms:
17 + -12x = 17 + 4[-1 + 4x]
17 + -12x = 17 + [-1 * 4 + 4x * 4]
17 + -12x = 17 + [-4 + 16x]

Combine like terms: 17 + -4 = 13
17 + -12x = 13 + 16x

Solving
17 + -12x = 13 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
17 + -12x + -16x = 13 + 16x + -16x

Combine like terms: -12x + -16x = -28x
17 + -28x = 13 + 16x + -16x

Combine like terms: 16x + -16x = 0
17 + -28x = 13 + 0
17 + -28x = 13

Add '-17' to each side of the equation.
17 + -17 + -28x = 13 + -17

Combine like terms: 17 + -17 = 0
0 + -28x = 13 + -17
-28x = 13 + -17

Combine like terms: 13 + -17 = -4
-28x = -4

Divide each side by '-28'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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