5(2x+4)=2(4x+15)

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Solution for 5(2x+4)=2(4x+15) equation:


Simplifying
5(2x + 4) = 2(4x + 15)

Reorder the terms:
5(4 + 2x) = 2(4x + 15)
(4 * 5 + 2x * 5) = 2(4x + 15)
(20 + 10x) = 2(4x + 15)

Reorder the terms:
20 + 10x = 2(15 + 4x)
20 + 10x = (15 * 2 + 4x * 2)
20 + 10x = (30 + 8x)

Solving
20 + 10x = 30 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 10x + -8x = 30 + 8x + -8x

Combine like terms: 10x + -8x = 2x
20 + 2x = 30 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + 2x = 30 + 0
20 + 2x = 30

Add '-20' to each side of the equation.
20 + -20 + 2x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 30 + -20
2x = 30 + -20

Combine like terms: 30 + -20 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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