3x+2[5x+4]=47

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Solution for 3x+2[5x+4]=47 equation:


Simplifying
3x + 2[5x + 4] = 47

Reorder the terms:
3x + 2[4 + 5x] = 47
3x + [4 * 2 + 5x * 2] = 47
3x + [8 + 10x] = 47

Reorder the terms:
8 + 3x + 10x = 47

Combine like terms: 3x + 10x = 13x
8 + 13x = 47

Solving
8 + 13x = 47

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 13x = 47 + -8

Combine like terms: 8 + -8 = 0
0 + 13x = 47 + -8
13x = 47 + -8

Combine like terms: 47 + -8 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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