6(x-3)-8=15+3x

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Solution for 6(x-3)-8=15+3x equation:


Simplifying
6(x + -3) + -8 = 15 + 3x

Reorder the terms:
6(-3 + x) + -8 = 15 + 3x
(-3 * 6 + x * 6) + -8 = 15 + 3x
(-18 + 6x) + -8 = 15 + 3x

Reorder the terms:
-18 + -8 + 6x = 15 + 3x

Combine like terms: -18 + -8 = -26
-26 + 6x = 15 + 3x

Solving
-26 + 6x = 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.
-26 + 6x + -3x = 15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-26 + 3x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + 3x = 15 + 0
-26 + 3x = 15

Add '26' to each side of the equation.
-26 + 26 + 3x = 15 + 26

Combine like terms: -26 + 26 = 0
0 + 3x = 15 + 26
3x = 15 + 26

Combine like terms: 15 + 26 = 41
3x = 41

Divide each side by '3'.
x = 13.66666667

Simplifying
x = 13.66666667

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