8(1+2x)=4(x+20)

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Solution for 8(1+2x)=4(x+20) equation: 


Simplifying
8(1 + 2x) = 4(x + 20)
(1 * 8 + 2x * 8) = 4(x + 20)
(8 + 16x) = 4(x + 20)

Reorder the terms:
8 + 16x = 4(20 + x)
8 + 16x = (20 * 4 + x * 4)
8 + 16x = (80 + 4x)

Solving
8 + 16x = 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.
8 + 16x + -4x = 80 + 4x + -4x

Combine like terms: 16x + -4x = 12x
8 + 12x = 80 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 12x = 80 + 0
8 + 12x = 80

Add '-8' to each side of the equation.
8 + -8 + 12x = 80 + -8

Combine like terms: 8 + -8 = 0
0 + 12x = 80 + -8
12x = 80 + -8

Combine like terms: 80 + -8 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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