2(x-50)=4(x+20)

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Solution for 2(x-50)=4(x+20) equation:


Simplifying
2(x + -50) = 4(x + 20)

Reorder the terms:
2(-50 + x) = 4(x + 20)
(-50 * 2 + x * 2) = 4(x + 20)
(-100 + 2x) = 4(x + 20)

Reorder the terms:
-100 + 2x = 4(20 + x)
-100 + 2x = (20 * 4 + x * 4)
-100 + 2x = (80 + 4x)

Solving
-100 + 2x = 80 + 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.
-100 + 2x + -4x = 80 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-100 + -2x = 80 + 4x + -4x

Combine like terms: 4x + -4x = 0
-100 + -2x = 80 + 0
-100 + -2x = 80

Add '100' to each side of the equation.
-100 + 100 + -2x = 80 + 100

Combine like terms: -100 + 100 = 0
0 + -2x = 80 + 100
-2x = 80 + 100

Combine like terms: 80 + 100 = 180
-2x = 180

Divide each side by '-2'.
x = -90

Simplifying
x = -90

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