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

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


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

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

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

Combine like terms: 2x + 3x = 5x
-15 + 5x = 2(5 + -1x)
-15 + 5x = (5 * 2 + -1x * 2)
-15 + 5x = (10 + -2x)

Solving
-15 + 5x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-15 + 5x + 2x = 10 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-15 + 7x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 7x = 10 + 0
-15 + 7x = 10

Add '15' to each side of the equation.
-15 + 15 + 7x = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 10 + 15
7x = 10 + 15

Combine like terms: 10 + 15 = 25
7x = 25

Divide each side by '7'.
x = 3.571428571

Simplifying
x = 3.571428571

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