(5x+3)=2(x+12)

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Solution for (5x+3)=2(x+12) equation:


Simplifying
(5x + 3) = 2(x + 12)

Reorder the terms:
(3 + 5x) = 2(x + 12)

Remove parenthesis around (3 + 5x)
3 + 5x = 2(x + 12)

Reorder the terms:
3 + 5x = 2(12 + x)
3 + 5x = (12 * 2 + x * 2)
3 + 5x = (24 + 2x)

Solving
3 + 5x = 24 + 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.
3 + 5x + -2x = 24 + 2x + -2x

Combine like terms: 5x + -2x = 3x
3 + 3x = 24 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 3x = 24 + 0
3 + 3x = 24

Add '-3' to each side of the equation.
3 + -3 + 3x = 24 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 24 + -3
3x = 24 + -3

Combine like terms: 24 + -3 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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