3(x-5)2+8=35

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Solution for 3(x-5)2+8=35 equation: 


Simplifying
3(x + -5) * 2 + 8 = 35

Reorder the terms:
3(-5 + x) * 2 + 8 = 35

Reorder the terms for easier multiplication:
3 * 2(-5 + x) + 8 = 35

Multiply 3 * 2
6(-5 + x) + 8 = 35
(-5 * 6 + x * 6) + 8 = 35
(-30 + 6x) + 8 = 35

Reorder the terms:
-30 + 8 + 6x = 35

Combine like terms: -30 + 8 = -22
-22 + 6x = 35

Solving
-22 + 6x = 35

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 6x = 35 + 22

Combine like terms: -22 + 22 = 0
0 + 6x = 35 + 22
6x = 35 + 22

Combine like terms: 35 + 22 = 57
6x = 57

Divide each side by '6'.
x = 9.5

Simplifying
x = 9.5

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