4.5(x-3)=-0.5x+21.5

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Solution for 4.5(x-3)=-0.5x+21.5 equation: 


Simplifying
4.5(x + -3) = -0.5x + 21.5

Reorder the terms:
4.5(-3 + x) = -0.5x + 21.5
(-3 * 4.5 + x * 4.5) = -0.5x + 21.5
(-13.5 + 4.5x) = -0.5x + 21.5

Reorder the terms:
-13.5 + 4.5x = 21.5 + -0.5x

Solving
-13.5 + 4.5x = 21.5 + -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.
-13.5 + 4.5x + 0.5x = 21.5 + -0.5x + 0.5x

Combine like terms: 4.5x + 0.5x = 5x
-13.5 + 5x = 21.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-13.5 + 5x = 21.5 + 0.0
-13.5 + 5x = 21.5

Add '13.5' to each side of the equation.
-13.5 + 13.5 + 5x = 21.5 + 13.5

Combine like terms: -13.5 + 13.5 = 0.0
0.0 + 5x = 21.5 + 13.5
5x = 21.5 + 13.5

Combine like terms: 21.5 + 13.5 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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