5x-15=2(x+3)

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Solution for 5x-15=2(x+3) equation:


Simplifying
5x + -15 = 2(x + 3)

Reorder the terms:
-15 + 5x = 2(x + 3)

Reorder the terms:
-15 + 5x = 2(3 + x)
-15 + 5x = (3 * 2 + x * 2)
-15 + 5x = (6 + 2x)

Solving
-15 + 5x = 6 + 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.
-15 + 5x + -2x = 6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-15 + 3x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 3x = 6 + 0
-15 + 3x = 6

Add '15' to each side of the equation.
-15 + 15 + 3x = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 6 + 15
3x = 6 + 15

Combine like terms: 6 + 15 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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