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

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


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

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

Reorder the terms:
10 + 2x + 2(-10 + x) = 10
10 + 2x + (-10 * 2 + x * 2) = 10
10 + 2x + (-20 + 2x) = 10

Reorder the terms:
10 + -20 + 2x + 2x = 10

Combine like terms: 10 + -20 = -10
-10 + 2x + 2x = 10

Combine like terms: 2x + 2x = 4x
-10 + 4x = 10

Solving
-10 + 4x = 10

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 + 4x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 10 + 10
4x = 10 + 10

Combine like terms: 10 + 10 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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