2x+5(5x-23)=101

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Solution for 2x+5(5x-23)=101 equation:


Simplifying
2x + 5(5x + -23) = 101

Reorder the terms:
2x + 5(-23 + 5x) = 101
2x + (-23 * 5 + 5x * 5) = 101
2x + (-115 + 25x) = 101

Reorder the terms:
-115 + 2x + 25x = 101

Combine like terms: 2x + 25x = 27x
-115 + 27x = 101

Solving
-115 + 27x = 101

Solving for variable 'x'.

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

Add '115' to each side of the equation.
-115 + 115 + 27x = 101 + 115

Combine like terms: -115 + 115 = 0
0 + 27x = 101 + 115
27x = 101 + 115

Combine like terms: 101 + 115 = 216
27x = 216

Divide each side by '27'.
x = 8

Simplifying
x = 8

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