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 = -25
-25 + 2x + 3x = 10

Combine like terms: 2x + 3x = 5x
-25 + 5x = 10

Solving
-25 + 5x = 10

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 5x = 10 + 25

Combine like terms: -25 + 25 = 0
0 + 5x = 10 + 25
5x = 10 + 25

Combine like terms: 10 + 25 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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