18*4.74+X*6=(18+X)*5.4

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Solution for 18*4.74+X*6=(18+X)*5.4 equation:


Simplifying
18 * 4.74 + X * 6 = (18 + X) * 5.4

Multiply 18 * 4.74
85.32 + X * 6 = (18 + X) * 5.4

Reorder the terms for easier multiplication:
85.32 + 6X = (18 + X) * 5.4

Reorder the terms for easier multiplication:
85.32 + 6X = 5.4(18 + X)
85.32 + 6X = (18 * 5.4 + X * 5.4)
85.32 + 6X = (97.2 + 5.4X)

Solving
85.32 + 6X = 97.2 + 5.4X

Solving for variable 'X'.

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

Add '-5.4X' to each side of the equation.
85.32 + 6X + -5.4X = 97.2 + 5.4X + -5.4X

Combine like terms: 6X + -5.4X = 0.6X
85.32 + 0.6X = 97.2 + 5.4X + -5.4X

Combine like terms: 5.4X + -5.4X = 0.0
85.32 + 0.6X = 97.2 + 0.0
85.32 + 0.6X = 97.2

Add '-85.32' to each side of the equation.
85.32 + -85.32 + 0.6X = 97.2 + -85.32

Combine like terms: 85.32 + -85.32 = 0.00
0.00 + 0.6X = 97.2 + -85.32
0.6X = 97.2 + -85.32

Combine like terms: 97.2 + -85.32 = 11.88
0.6X = 11.88

Divide each side by '0.6'.
X = 19.8

Simplifying
X = 19.8

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