2(x-5)=4(x-15)

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Solution for 2(x-5)=4(x-15) equation:


Simplifying
2(x + -5) = 4(x + -15)

Reorder the terms:
2(-5 + x) = 4(x + -15)
(-5 * 2 + x * 2) = 4(x + -15)
(-10 + 2x) = 4(x + -15)

Reorder the terms:
-10 + 2x = 4(-15 + x)
-10 + 2x = (-15 * 4 + x * 4)
-10 + 2x = (-60 + 4x)

Solving
-10 + 2x = -60 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 2x + -4x = -60 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-10 + -2x = -60 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + -2x = -60 + 0
-10 + -2x = -60

Add '10' to each side of the equation.
-10 + 10 + -2x = -60 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -60 + 10
-2x = -60 + 10

Combine like terms: -60 + 10 = -50
-2x = -50

Divide each side by '-2'.
x = 25

Simplifying
x = 25

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