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

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


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

Reorder the terms:
5(2 + x) + -1x(5 + 2) = 5
(2 * 5 + x * 5) + -1x(5 + 2) = 5
(10 + 5x) + -1x(5 + 2) = 5

Combine like terms: 5 + 2 = 7
10 + 5x + -1x(7) = 5

Reorder the terms for easier multiplication:
10 + 5x + -1 * 7x = 5

Multiply -1 * 7
10 + 5x + -7x = 5

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

Solving
10 + -2x = 5

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 + -2x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 5 + -10
-2x = 5 + -10

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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