2x+1(-2-x)=5

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Solution for 2x+1(-2-x)=5 equation:


Simplifying
2x + 1(-2 + -1x) = 5
2x + (-2 * 1 + -1x * 1) = 5
2x + (-2 + -1x) = 5

Reorder the terms:
-2 + 2x + -1x = 5

Combine like terms: 2x + -1x = 1x
-2 + 1x = 5

Solving
-2 + 1x = 5

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 5 + 2
1x = 5 + 2

Combine like terms: 5 + 2 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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