2(5+x)=13-5x

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


Simplifying
2(5 + x) = 13 + -5x
(5 * 2 + x * 2) = 13 + -5x
(10 + 2x) = 13 + -5x

Solving
10 + 2x = 13 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
10 + 2x + 5x = 13 + -5x + 5x

Combine like terms: 2x + 5x = 7x
10 + 7x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 7x = 13 + 0
10 + 7x = 13

Add '-10' to each side of the equation.
10 + -10 + 7x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 13 + -10
7x = 13 + -10

Combine like terms: 13 + -10 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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