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

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


Simplifying
2(x + 5) + -3(5 + -1x) = 10

Reorder the terms:
2(5 + x) + -3(5 + -1x) = 10
(5 * 2 + x * 2) + -3(5 + -1x) = 10
(10 + 2x) + -3(5 + -1x) = 10
10 + 2x + (5 * -3 + -1x * -3) = 10
10 + 2x + (-15 + 3x) = 10

Reorder the terms:
10 + -15 + 2x + 3x = 10

Combine like terms: 10 + -15 = -5
-5 + 2x + 3x = 10

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

Solving
-5 + 5x = 10

Solving for variable 'x'.

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

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

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

Combine like terms: 10 + 5 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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