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

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Solution for 2(x-1)+2(x-2)=10 equation: 


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

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

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

Reorder the terms:
-2 + -4 + 2x + 2x = 10

Combine like terms: -2 + -4 = -6
-6 + 2x + 2x = 10

Combine like terms: 2x + 2x = 4x
-6 + 4x = 10

Solving
-6 + 4x = 10

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 10 + 6
4x = 10 + 6

Combine like terms: 10 + 6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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