2(x+10)=4(x-15)

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Solution for 2(x+10)=4(x-15) equation: 


Simplifying
2(x + 10) = 4(x + -15)

Reorder the terms:
2(10 + x) = 4(x + -15)
(10 * 2 + x * 2) = 4(x + -15)
(20 + 2x) = 4(x + -15)

Reorder the terms:
20 + 2x = 4(-15 + x)
20 + 2x = (-15 * 4 + x * 4)
20 + 2x = (-60 + 4x)

Solving
20 + 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.
20 + 2x + -4x = -60 + 4x + -4x

Combine like terms: 2x + -4x = -2x
20 + -2x = -60 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -2x = -60 + 0
20 + -2x = -60

Add '-20' to each side of the equation.
20 + -20 + -2x = -60 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -60 + -20
-2x = -60 + -20

Combine like terms: -60 + -20 = -80
-2x = -80

Divide each side by '-2'.
x = 40

Simplifying
x = 40

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