2(x+3)+5(x+2)=2

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Solution for 2(x+3)+5(x+2)=2 equation: 


Simplifying
2(x + 3) + 5(x + 2) = 2

Reorder the terms:
2(3 + x) + 5(x + 2) = 2
(3 * 2 + x * 2) + 5(x + 2) = 2
(6 + 2x) + 5(x + 2) = 2

Reorder the terms:
6 + 2x + 5(2 + x) = 2
6 + 2x + (2 * 5 + x * 5) = 2
6 + 2x + (10 + 5x) = 2

Reorder the terms:
6 + 10 + 2x + 5x = 2

Combine like terms: 6 + 10 = 16
16 + 2x + 5x = 2

Combine like terms: 2x + 5x = 7x
16 + 7x = 2

Solving
16 + 7x = 2

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 + 7x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = 2 + -16
7x = 2 + -16

Combine like terms: 2 + -16 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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