20(2x+6)=5(4x+40)

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Solution for 20(2x+6)=5(4x+40) equation:


Simplifying
20(2x + 6) = 5(4x + 40)

Reorder the terms:
20(6 + 2x) = 5(4x + 40)
(6 * 20 + 2x * 20) = 5(4x + 40)
(120 + 40x) = 5(4x + 40)

Reorder the terms:
120 + 40x = 5(40 + 4x)
120 + 40x = (40 * 5 + 4x * 5)
120 + 40x = (200 + 20x)

Solving
120 + 40x = 200 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
120 + 40x + -20x = 200 + 20x + -20x

Combine like terms: 40x + -20x = 20x
120 + 20x = 200 + 20x + -20x

Combine like terms: 20x + -20x = 0
120 + 20x = 200 + 0
120 + 20x = 200

Add '-120' to each side of the equation.
120 + -120 + 20x = 200 + -120

Combine like terms: 120 + -120 = 0
0 + 20x = 200 + -120
20x = 200 + -120

Combine like terms: 200 + -120 = 80
20x = 80

Divide each side by '20'.
x = 4

Simplifying
x = 4

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