7.5(x-3)=-0.5x+41.5

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Solution for 7.5(x-3)=-0.5x+41.5 equation: 


Simplifying
7.5(x + -3) = -0.5x + 41.5

Reorder the terms:
7.5(-3 + x) = -0.5x + 41.5
(-3 * 7.5 + x * 7.5) = -0.5x + 41.5
(-22.5 + 7.5x) = -0.5x + 41.5

Reorder the terms:
-22.5 + 7.5x = 41.5 + -0.5x

Solving
-22.5 + 7.5x = 41.5 + -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.
-22.5 + 7.5x + 0.5x = 41.5 + -0.5x + 0.5x

Combine like terms: 7.5x + 0.5x = 8x
-22.5 + 8x = 41.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-22.5 + 8x = 41.5 + 0.0
-22.5 + 8x = 41.5

Add '22.5' to each side of the equation.
-22.5 + 22.5 + 8x = 41.5 + 22.5

Combine like terms: -22.5 + 22.5 = 0.0
0.0 + 8x = 41.5 + 22.5
8x = 41.5 + 22.5

Combine like terms: 41.5 + 22.5 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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