5x-2=3(x+6)

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Solution for 5x-2=3(x+6) equation:


Simplifying
5x + -2 = 3(x + 6)

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

Reorder the terms:
-2 + 5x = 3(6 + x)
-2 + 5x = (6 * 3 + x * 3)
-2 + 5x = (18 + 3x)

Solving
-2 + 5x = 18 + 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 = 18 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-2 + 2x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 2x = 18 + 0
-2 + 2x = 18

Add '2' to each side of the equation.
-2 + 2 + 2x = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 18 + 2
2x = 18 + 2

Combine like terms: 18 + 2 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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