2+3[2(x+4)-7]=35

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Solution for 2+3[2(x+4)-7]=35 equation:


Simplifying
2 + 3[2(x + 4) + -7] = 35

Reorder the terms:
2 + 3[2(4 + x) + -7] = 35
2 + 3[(4 * 2 + x * 2) + -7] = 35
2 + 3[(8 + 2x) + -7] = 35

Reorder the terms:
2 + 3[8 + -7 + 2x] = 35

Combine like terms: 8 + -7 = 1
2 + 3[1 + 2x] = 35
2 + [1 * 3 + 2x * 3] = 35
2 + [3 + 6x] = 35

Combine like terms: 2 + 3 = 5
5 + 6x = 35

Solving
5 + 6x = 35

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 6x = 35 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 35 + -5
6x = 35 + -5

Combine like terms: 35 + -5 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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