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

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


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

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

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

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

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

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

Reorder the terms:
7x = 10 + x

Solving
7x = 10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7x + -1x = 10 + x + -1x

Combine like terms: 7x + -1x = 6x
6x = 10 + x + -1x

Combine like terms: x + -1x = 0
6x = 10 + 0
6x = 10

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667

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