5(x+12)=2(x+45)

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Solution for 5(x+12)=2(x+45) equation:


Simplifying
5(x + 12) = 2(x + 45)

Reorder the terms:
5(12 + x) = 2(x + 45)
(12 * 5 + x * 5) = 2(x + 45)
(60 + 5x) = 2(x + 45)

Reorder the terms:
60 + 5x = 2(45 + x)
60 + 5x = (45 * 2 + x * 2)
60 + 5x = (90 + 2x)

Solving
60 + 5x = 90 + 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.
60 + 5x + -2x = 90 + 2x + -2x

Combine like terms: 5x + -2x = 3x
60 + 3x = 90 + 2x + -2x

Combine like terms: 2x + -2x = 0
60 + 3x = 90 + 0
60 + 3x = 90

Add '-60' to each side of the equation.
60 + -60 + 3x = 90 + -60

Combine like terms: 60 + -60 = 0
0 + 3x = 90 + -60
3x = 90 + -60

Combine like terms: 90 + -60 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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