-4.5=-.5(x-7.1)

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Solution for -4.5=-.5(x-7.1) equation: 


Simplifying
-4.5 = -0.5(x + -7.1)

Reorder the terms:
-4.5 = -0.5(-7.1 + x)
-4.5 = (-7.1 * -0.5 + x * -0.5)
-4.5 = (3.55 + -0.5x)

Solving
-4.5 = 3.55 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
-4.5 + 0.5x = 3.55 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-4.5 + 0.5x = 3.55 + 0.0
-4.5 + 0.5x = 3.55

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 0.5x = 3.55 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 0.5x = 3.55 + 4.5
0.5x = 3.55 + 4.5

Combine like terms: 3.55 + 4.5 = 8.05
0.5x = 8.05

Divide each side by '0.5'.
x = 16.1

Simplifying
x = 16.1

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