2(2x-2)+2(10-x)=26

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Solution for 2(2x-2)+2(10-x)=26 equation:


Simplifying
2(2x + -2) + 2(10 + -1x) = 26

Reorder the terms:
2(-2 + 2x) + 2(10 + -1x) = 26
(-2 * 2 + 2x * 2) + 2(10 + -1x) = 26
(-4 + 4x) + 2(10 + -1x) = 26
-4 + 4x + (10 * 2 + -1x * 2) = 26
-4 + 4x + (20 + -2x) = 26

Reorder the terms:
-4 + 20 + 4x + -2x = 26

Combine like terms: -4 + 20 = 16
16 + 4x + -2x = 26

Combine like terms: 4x + -2x = 2x
16 + 2x = 26

Solving
16 + 2x = 26

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 2x = 26 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 26 + -16
2x = 26 + -16

Combine like terms: 26 + -16 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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