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

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Solution for 1+2[5-(3x-2)]=3 equation: 


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

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

Combine like terms: 5 + 2 = 7
1 + 2[7 + -3x] = 3
1 + [7 * 2 + -3x * 2] = 3
1 + [14 + -6x] = 3

Combine like terms: 1 + 14 = 15
15 + -6x = 3

Solving
15 + -6x = 3

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -6x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = 3 + -15
-6x = 3 + -15

Combine like terms: 3 + -15 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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