2x+6=3(5-x)

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


Simplifying
2x + 6 = 3(5 + -1x)

Reorder the terms:
6 + 2x = 3(5 + -1x)
6 + 2x = (5 * 3 + -1x * 3)
6 + 2x = (15 + -3x)

Solving
6 + 2x = 15 + -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.
6 + 2x + 3x = 15 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
6 + 5x = 15 + 0
6 + 5x = 15

Add '-6' to each side of the equation.
6 + -6 + 5x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 15 + -6
5x = 15 + -6

Combine like terms: 15 + -6 = 9
5x = 9

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8

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