3(x-6)2+4=31

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Solution for 3(x-6)2+4=31 equation:


Simplifying
3(x + -6) * 2 + 4 = 31

Reorder the terms:
3(-6 + x) * 2 + 4 = 31

Reorder the terms for easier multiplication:
3 * 2(-6 + x) + 4 = 31

Multiply 3 * 2
6(-6 + x) + 4 = 31
(-6 * 6 + x * 6) + 4 = 31
(-36 + 6x) + 4 = 31

Reorder the terms:
-36 + 4 + 6x = 31

Combine like terms: -36 + 4 = -32
-32 + 6x = 31

Solving
-32 + 6x = 31

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 6x = 31 + 32

Combine like terms: -32 + 32 = 0
0 + 6x = 31 + 32
6x = 31 + 32

Combine like terms: 31 + 32 = 63
6x = 63

Divide each side by '6'.
x = 10.5

Simplifying
x = 10.5

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