4(x-5)2-3=33

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Solution for 4(x-5)2-3=33 equation: 


Simplifying
4(x + -5) * 2 + -3 = 33

Reorder the terms:
4(-5 + x) * 2 + -3 = 33

Reorder the terms for easier multiplication:
4 * 2(-5 + x) + -3 = 33

Multiply 4 * 2
8(-5 + x) + -3 = 33
(-5 * 8 + x * 8) + -3 = 33
(-40 + 8x) + -3 = 33

Reorder the terms:
-40 + -3 + 8x = 33

Combine like terms: -40 + -3 = -43
-43 + 8x = 33

Solving
-43 + 8x = 33

Solving for variable 'x'.

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

Add '43' to each side of the equation.
-43 + 43 + 8x = 33 + 43

Combine like terms: -43 + 43 = 0
0 + 8x = 33 + 43
8x = 33 + 43

Combine like terms: 33 + 43 = 76
8x = 76

Divide each side by '8'.
x = 9.5

Simplifying
x = 9.5

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