2x-5(x-2)=13

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Solution for 2x-5(x-2)=13 equation:


Simplifying
2x + -5(x + -2) = 13

Reorder the terms:
2x + -5(-2 + x) = 13
2x + (-2 * -5 + x * -5) = 13
2x + (10 + -5x) = 13

Reorder the terms:
10 + 2x + -5x = 13

Combine like terms: 2x + -5x = -3x
10 + -3x = 13

Solving
10 + -3x = 13

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 13 + -10
-3x = 13 + -10

Combine like terms: 13 + -10 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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