4(9.7-8.1)=x(9.7)-x(8.1)

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Solution for 4(9.7-8.1)=x(9.7)-x(8.1) equation: 


Simplifying
4(9.7 + -8.1) = x(9.7) + -1x(8.1)

Combine like terms: 9.7 + -8.1 = 1.6
4(1.6) = x(9.7) + -1x(8.1)

Multiply 4 * 1.6
6.4 = x(9.7) + -1x(8.1)

Reorder the terms for easier multiplication:
6.4 = 9.7x + -1x(8.1)

Reorder the terms for easier multiplication:
6.4 = 9.7x + -1 * 8.1x

Multiply -1 * 8.1
6.4 = 9.7x + -8.1x

Combine like terms: 9.7x + -8.1x = 1.6x
6.4 = 1.6x

Solving
6.4 = 1.6x

Solving for variable 'x'.

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

Add '-1.6x' to each side of the equation.
6.4 + -1.6x = 1.6x + -1.6x

Combine like terms: 1.6x + -1.6x = 0.0
6.4 + -1.6x = 0.0

Add '-6.4' to each side of the equation.
6.4 + -6.4 + -1.6x = 0.0 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -1.6x = 0.0 + -6.4
-1.6x = 0.0 + -6.4

Combine like terms: 0.0 + -6.4 = -6.4
-1.6x = -6.4

Divide each side by '-1.6'.
x = 4

Simplifying
x = 4

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