(5x+2)=3(x+14)

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Solution for (5x+2)=3(x+14) equation:


Simplifying
(5x + 2) = 3(x + 14)

Reorder the terms:
(2 + 5x) = 3(x + 14)

Remove parenthesis around (2 + 5x)
2 + 5x = 3(x + 14)

Reorder the terms:
2 + 5x = 3(14 + x)
2 + 5x = (14 * 3 + x * 3)
2 + 5x = (42 + 3x)

Solving
2 + 5x = 42 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 5x + -3x = 42 + 3x + -3x

Combine like terms: 5x + -3x = 2x
2 + 2x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 2x = 42 + 0
2 + 2x = 42

Add '-2' to each side of the equation.
2 + -2 + 2x = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 42 + -2
2x = 42 + -2

Combine like terms: 42 + -2 = 40
2x = 40

Divide each side by '2'.
x = 20

Simplifying
x = 20

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