3(x+2)+2(x-5)=10

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Solution for 3(x+2)+2(x-5)=10 equation: 


Simplifying
3(x + 2) + 2(x + -5) = 10

Reorder the terms:
3(2 + x) + 2(x + -5) = 10
(2 * 3 + x * 3) + 2(x + -5) = 10
(6 + 3x) + 2(x + -5) = 10

Reorder the terms:
6 + 3x + 2(-5 + x) = 10
6 + 3x + (-5 * 2 + x * 2) = 10
6 + 3x + (-10 + 2x) = 10

Reorder the terms:
6 + -10 + 3x + 2x = 10

Combine like terms: 6 + -10 = -4
-4 + 3x + 2x = 10

Combine like terms: 3x + 2x = 5x
-4 + 5x = 10

Solving
-4 + 5x = 10

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 10 + 4
5x = 10 + 4

Combine like terms: 10 + 4 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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