x+3=3(x-5)-8

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Solution for x+3=3(x-5)-8 equation:


Simplifying
x + 3 = 3(x + -5) + -8

Reorder the terms:
3 + x = 3(x + -5) + -8

Reorder the terms:
3 + x = 3(-5 + x) + -8
3 + x = (-5 * 3 + x * 3) + -8
3 + x = (-15 + 3x) + -8

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

Combine like terms: -15 + -8 = -23
3 + x = -23 + 3x

Solving
3 + x = -23 + 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.
3 + x + -3x = -23 + 3x + -3x

Combine like terms: x + -3x = -2x
3 + -2x = -23 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -2x = -23 + 0
3 + -2x = -23

Add '-3' to each side of the equation.
3 + -3 + -2x = -23 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -23 + -3
-2x = -23 + -3

Combine like terms: -23 + -3 = -26
-2x = -26

Divide each side by '-2'.
x = 13

Simplifying
x = 13

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