(4x-3)2+7=39

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Solution for (4x-3)2+7=39 equation:


Simplifying
(4x + -3) * 2 + 7 = 39

Reorder the terms:
(-3 + 4x) * 2 + 7 = 39

Reorder the terms for easier multiplication:
2(-3 + 4x) + 7 = 39
(-3 * 2 + 4x * 2) + 7 = 39
(-6 + 8x) + 7 = 39

Reorder the terms:
-6 + 7 + 8x = 39

Combine like terms: -6 + 7 = 1
1 + 8x = 39

Solving
1 + 8x = 39

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 8x = 39 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 39 + -1
8x = 39 + -1

Combine like terms: 39 + -1 = 38
8x = 38

Divide each side by '8'.
x = 4.75

Simplifying
x = 4.75

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