3(x+4)2-7=20

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Solution for 3(x+4)2-7=20 equation:


Simplifying
3(x + 4) * 2 + -7 = 20

Reorder the terms:
3(4 + x) * 2 + -7 = 20

Reorder the terms for easier multiplication:
3 * 2(4 + x) + -7 = 20

Multiply 3 * 2
6(4 + x) + -7 = 20
(4 * 6 + x * 6) + -7 = 20
(24 + 6x) + -7 = 20

Reorder the terms:
24 + -7 + 6x = 20

Combine like terms: 24 + -7 = 17
17 + 6x = 20

Solving
17 + 6x = 20

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 6x = 20 + -17

Combine like terms: 17 + -17 = 0
0 + 6x = 20 + -17
6x = 20 + -17

Combine like terms: 20 + -17 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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