556(36x-97)=30(28x-333)

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Solution for 556(36x-97)=30(28x-333) equation:


Simplifying
556(36x + -97) = 30(28x + -333)

Reorder the terms:
556(-97 + 36x) = 30(28x + -333)
(-97 * 556 + 36x * 556) = 30(28x + -333)
(-53932 + 20016x) = 30(28x + -333)

Reorder the terms:
-53932 + 20016x = 30(-333 + 28x)
-53932 + 20016x = (-333 * 30 + 28x * 30)
-53932 + 20016x = (-9990 + 840x)

Solving
-53932 + 20016x = -9990 + 840x

Solving for variable 'x'.

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

Add '-840x' to each side of the equation.
-53932 + 20016x + -840x = -9990 + 840x + -840x

Combine like terms: 20016x + -840x = 19176x
-53932 + 19176x = -9990 + 840x + -840x

Combine like terms: 840x + -840x = 0
-53932 + 19176x = -9990 + 0
-53932 + 19176x = -9990

Add '53932' to each side of the equation.
-53932 + 53932 + 19176x = -9990 + 53932

Combine like terms: -53932 + 53932 = 0
0 + 19176x = -9990 + 53932
19176x = -9990 + 53932

Combine like terms: -9990 + 53932 = 43942
19176x = 43942

Divide each side by '19176'.
x = 2.291510221

Simplifying
x = 2.291510221

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