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

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


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

Reorder the terms:
2x + 5(-5 + x) = 2(x + -5)
2x + (-5 * 5 + x * 5) = 2(x + -5)
2x + (-25 + 5x) = 2(x + -5)

Reorder the terms:
-25 + 2x + 5x = 2(x + -5)

Combine like terms: 2x + 5x = 7x
-25 + 7x = 2(x + -5)

Reorder the terms:
-25 + 7x = 2(-5 + x)
-25 + 7x = (-5 * 2 + x * 2)
-25 + 7x = (-10 + 2x)

Solving
-25 + 7x = -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.
-25 + 7x + -2x = -10 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-25 + 5x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-25 + 5x = -10 + 0
-25 + 5x = -10

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 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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