14.7=4.2(x-8.5)

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Solution for 14.7=4.2(x-8.5) equation: 


Simplifying
14.7 = 4.2(x + -8.5)

Reorder the terms:
14.7 = 4.2(-8.5 + x)
14.7 = (-8.5 * 4.2 + x * 4.2)
14.7 = (-35.7 + 4.2x)

Solving
14.7 = -35.7 + 4.2x

Solving for variable 'x'.

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

Add '-4.2x' to each side of the equation.
14.7 + -4.2x = -35.7 + 4.2x + -4.2x

Combine like terms: 4.2x + -4.2x = 0.0
14.7 + -4.2x = -35.7 + 0.0
14.7 + -4.2x = -35.7

Add '-14.7' to each side of the equation.
14.7 + -14.7 + -4.2x = -35.7 + -14.7

Combine like terms: 14.7 + -14.7 = 0.0
0.0 + -4.2x = -35.7 + -14.7
-4.2x = -35.7 + -14.7

Combine like terms: -35.7 + -14.7 = -50.4
-4.2x = -50.4

Divide each side by '-4.2'.
x = 12

Simplifying
x = 12

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