2(x-3)2-3=47

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Solution for 2(x-3)2-3=47 equation:


Simplifying
2(x + -3) * 2 + -3 = 47

Reorder the terms:
2(-3 + x) * 2 + -3 = 47

Reorder the terms for easier multiplication:
2 * 2(-3 + x) + -3 = 47

Multiply 2 * 2
4(-3 + x) + -3 = 47
(-3 * 4 + x * 4) + -3 = 47
(-12 + 4x) + -3 = 47

Reorder the terms:
-12 + -3 + 4x = 47

Combine like terms: -12 + -3 = -15
-15 + 4x = 47

Solving
-15 + 4x = 47

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 + 4x = 47 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 47 + 15
4x = 47 + 15

Combine like terms: 47 + 15 = 62
4x = 62

Divide each side by '4'.
x = 15.5

Simplifying
x = 15.5

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