19.2x=-10.1x+4(7.5x-19.67)

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Solution for 19.2x=-10.1x+4(7.5x-19.67) equation: 


Simplifying
19.2x = -10.1x + 4(7.5x + -19.67)

Reorder the terms:
19.2x = -10.1x + 4(-19.67 + 7.5x)
19.2x = -10.1x + (-19.67 * 4 + 7.5x * 4)
19.2x = -10.1x + (-78.68 + 30x)

Reorder the terms:
19.2x = -78.68 + -10.1x + 30x

Combine like terms: -10.1x + 30x = 19.9x
19.2x = -78.68 + 19.9x

Solving
19.2x = -78.68 + 19.9x

Solving for variable 'x'.

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

Add '-19.9x' to each side of the equation.
19.2x + -19.9x = -78.68 + 19.9x + -19.9x

Combine like terms: 19.2x + -19.9x = -0.7x
-0.7x = -78.68 + 19.9x + -19.9x

Combine like terms: 19.9x + -19.9x = 0.0
-0.7x = -78.68 + 0.0
-0.7x = -78.68

Divide each side by '-0.7'.
x = 112.4

Simplifying
x = 112.4

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