8x+46(19-x)=418

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Solution for 8x+46(19-x)=418 equation:


Simplifying
8x + 46(19 + -1x) = 418
8x + (19 * 46 + -1x * 46) = 418
8x + (874 + -46x) = 418

Reorder the terms:
874 + 8x + -46x = 418

Combine like terms: 8x + -46x = -38x
874 + -38x = 418

Solving
874 + -38x = 418

Solving for variable 'x'.

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

Add '-874' to each side of the equation.
874 + -874 + -38x = 418 + -874

Combine like terms: 874 + -874 = 0
0 + -38x = 418 + -874
-38x = 418 + -874

Combine like terms: 418 + -874 = -456
-38x = -456

Divide each side by '-38'.
x = 12

Simplifying
x = 12

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