422(1-19x)+3.92(1-19x)=0.375(19x-1)

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Solution for 422(1-19x)+3.92(1-19x)=0.375(19x-1) equation: 


Simplifying
422(1 + -19x) + 3.92(1 + -19x) = 0.375(19x + -1)
(1 * 422 + -19x * 422) + 3.92(1 + -19x) = 0.375(19x + -1)
(422 + -8018x) + 3.92(1 + -19x) = 0.375(19x + -1)
422 + -8018x + (1 * 3.92 + -19x * 3.92) = 0.375(19x + -1)
422 + -8018x + (3.92 + -74.48x) = 0.375(19x + -1)

Reorder the terms:
422 + 3.92 + -8018x + -74.48x = 0.375(19x + -1)

Combine like terms: 422 + 3.92 = 425.92
425.92 + -8018x + -74.48x = 0.375(19x + -1)

Combine like terms: -8018x + -74.48x = -8092.48x
425.92 + -8092.48x = 0.375(19x + -1)

Reorder the terms:
425.92 + -8092.48x = 0.375(-1 + 19x)
425.92 + -8092.48x = (-1 * 0.375 + 19x * 0.375)
425.92 + -8092.48x = (-0.375 + 7.125x)

Solving
425.92 + -8092.48x = -0.375 + 7.125x

Solving for variable 'x'.

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

Add '-7.125x' to each side of the equation.
425.92 + -8092.48x + -7.125x = -0.375 + 7.125x + -7.125x

Combine like terms: -8092.48x + -7.125x = -8099.605x
425.92 + -8099.605x = -0.375 + 7.125x + -7.125x

Combine like terms: 7.125x + -7.125x = 0.000
425.92 + -8099.605x = -0.375 + 0.000
425.92 + -8099.605x = -0.375

Add '-425.92' to each side of the equation.
425.92 + -425.92 + -8099.605x = -0.375 + -425.92

Combine like terms: 425.92 + -425.92 = 0.00
0.00 + -8099.605x = -0.375 + -425.92
-8099.605x = -0.375 + -425.92

Combine like terms: -0.375 + -425.92 = -426.295
-8099.605x = -426.295

Divide each side by '-8099.605'.
x = 0.05263157895

Simplifying
x = 0.05263157895

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