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

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


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

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

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

Combine like terms: 2x + 5x = 7x
20 + 7x = 2(x + 15)

Reorder the terms:
20 + 7x = 2(15 + x)
20 + 7x = (15 * 2 + x * 2)
20 + 7x = (30 + 2x)

Solving
20 + 7x = 30 + 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 + 7x + -2x = 30 + 2x + -2x

Combine like terms: 7x + -2x = 5x
20 + 5x = 30 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 5x = 30 + 0
20 + 5x = 30

Add '-20' to each side of the equation.
20 + -20 + 5x = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 30 + -20
5x = 30 + -20

Combine like terms: 30 + -20 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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