10(x+5)=4(x+20)

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Solution for 10(x+5)=4(x+20) equation: 


Simplifying
10(x + 5) = 4(x + 20)

Reorder the terms:
10(5 + x) = 4(x + 20)
(5 * 10 + x * 10) = 4(x + 20)
(50 + 10x) = 4(x + 20)

Reorder the terms:
50 + 10x = 4(20 + x)
50 + 10x = (20 * 4 + x * 4)
50 + 10x = (80 + 4x)

Solving
50 + 10x = 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.
50 + 10x + -4x = 80 + 4x + -4x

Combine like terms: 10x + -4x = 6x
50 + 6x = 80 + 4x + -4x

Combine like terms: 4x + -4x = 0
50 + 6x = 80 + 0
50 + 6x = 80

Add '-50' to each side of the equation.
50 + -50 + 6x = 80 + -50

Combine like terms: 50 + -50 = 0
0 + 6x = 80 + -50
6x = 80 + -50

Combine like terms: 80 + -50 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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