2x-(3+5(x-5))=10

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Solution for 2x-(3+5(x-5))=10 equation: 


Simplifying
2x + -1(3 + 5(x + -5)) = 10

Reorder the terms:
2x + -1(3 + 5(-5 + x)) = 10
2x + -1(3 + (-5 * 5 + x * 5)) = 10
2x + -1(3 + (-25 + 5x)) = 10

Combine like terms: 3 + -25 = -22
2x + -1(-22 + 5x) = 10
2x + (-22 * -1 + 5x * -1) = 10
2x + (22 + -5x) = 10

Reorder the terms:
22 + 2x + -5x = 10

Combine like terms: 2x + -5x = -3x
22 + -3x = 10

Solving
22 + -3x = 10

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 + -3x = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 10 + -22
-3x = 10 + -22

Combine like terms: 10 + -22 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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