5x-14=3(x+2)

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


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

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

Reorder the terms:
-14 + 5x = 3(2 + x)
-14 + 5x = (2 * 3 + x * 3)
-14 + 5x = (6 + 3x)

Solving
-14 + 5x = 6 + 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.
-14 + 5x + -3x = 6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-14 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 2x = 6 + 0
-14 + 2x = 6

Add '14' to each side of the equation.
-14 + 14 + 2x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 6 + 14
2x = 6 + 14

Combine like terms: 6 + 14 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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