4(x+5)=2(x+2)

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


Simplifying
4(x + 5) = 2(x + 2)

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

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

Solving
20 + 4x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + 4x + -2x = 4 + 2x + -2x

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

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

Add '-20' to each side of the equation.
20 + -20 + 2x = 4 + -20

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

Combine like terms: 4 + -20 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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