6.7=8.1(2x-3)-23.2

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Solution for 6.7=8.1(2x-3)-23.2 equation: 


Simplifying
6.7 = 8.1(2x + -3) + -23.2

Reorder the terms:
6.7 = 8.1(-3 + 2x) + -23.2
6.7 = (-3 * 8.1 + 2x * 8.1) + -23.2
6.7 = (-24.3 + 16.2x) + -23.2

Reorder the terms:
6.7 = -24.3 + -23.2 + 16.2x

Combine like terms: -24.3 + -23.2 = -47.5
6.7 = -47.5 + 16.2x

Solving
6.7 = -47.5 + 16.2x

Solving for variable 'x'.

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

Add '-16.2x' to each side of the equation.
6.7 + -16.2x = -47.5 + 16.2x + -16.2x

Combine like terms: 16.2x + -16.2x = 0.0
6.7 + -16.2x = -47.5 + 0.0
6.7 + -16.2x = -47.5

Add '-6.7' to each side of the equation.
6.7 + -6.7 + -16.2x = -47.5 + -6.7

Combine like terms: 6.7 + -6.7 = 0.0
0.0 + -16.2x = -47.5 + -6.7
-16.2x = -47.5 + -6.7

Combine like terms: -47.5 + -6.7 = -54.2
-16.2x = -54.2

Divide each side by '-16.2'.
x = 3.345679012

Simplifying
x = 3.345679012

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