12.5=4.5+x(10.5-4.5)

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Solution for 12.5=4.5+x(10.5-4.5) equation: 


Simplifying
12.5 = 4.5 + x(10.5 + -4.5)

Combine like terms: 10.5 + -4.5 = 6
12.5 = 4.5 + x(6)

Reorder the terms for easier multiplication:
12.5 = 4.5 + 6x

Solving
12.5 = 4.5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12.5 + -6x = 4.5 + 6x + -6x

Combine like terms: 6x + -6x = 0
12.5 + -6x = 4.5 + 0
12.5 + -6x = 4.5

Add '-12.5' to each side of the equation.
12.5 + -12.5 + -6x = 4.5 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -6x = 4.5 + -12.5
-6x = 4.5 + -12.5

Combine like terms: 4.5 + -12.5 = -8
-6x = -8

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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