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

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


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

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

Reorder the terms:
10 + 5x = 2(15 + x)
10 + 5x = (15 * 2 + x * 2)
10 + 5x = (30 + 2x)

Solving
10 + 5x = 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.
10 + 5x + -2x = 30 + 2x + -2x

Combine like terms: 5x + -2x = 3x
10 + 3x = 30 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 3x = 30 + 0
10 + 3x = 30

Add '-10' to each side of the equation.
10 + -10 + 3x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 30 + -10
3x = 30 + -10

Combine like terms: 30 + -10 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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