6.8-4x=5(x-13.7)

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Solution for 6.8-4x=5(x-13.7) equation:


Simplifying
6.8 + -4x = 5(x + -13.7)

Reorder the terms:
6.8 + -4x = 5(-13.7 + x)
6.8 + -4x = (-13.7 * 5 + x * 5)
6.8 + -4x = (-68.5 + 5x)

Solving
6.8 + -4x = -68.5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6.8 + -4x + -5x = -68.5 + 5x + -5x

Combine like terms: -4x + -5x = -9x
6.8 + -9x = -68.5 + 5x + -5x

Combine like terms: 5x + -5x = 0
6.8 + -9x = -68.5 + 0
6.8 + -9x = -68.5

Add '-6.8' to each side of the equation.
6.8 + -6.8 + -9x = -68.5 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + -9x = -68.5 + -6.8
-9x = -68.5 + -6.8

Combine like terms: -68.5 + -6.8 = -75.3
-9x = -75.3

Divide each side by '-9'.
x = 8.366666667

Simplifying
x = 8.366666667

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