3x+47=8x-8

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Solution for 3x+47=8x-8 equation:


Simplifying
3x + 47 = 8x + -8

Reorder the terms:
47 + 3x = 8x + -8

Reorder the terms:
47 + 3x = -8 + 8x

Solving
47 + 3x = -8 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
47 + 3x + -8x = -8 + 8x + -8x

Combine like terms: 3x + -8x = -5x
47 + -5x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
47 + -5x = -8 + 0
47 + -5x = -8

Add '-47' to each side of the equation.
47 + -47 + -5x = -8 + -47

Combine like terms: 47 + -47 = 0
0 + -5x = -8 + -47
-5x = -8 + -47

Combine like terms: -8 + -47 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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