7.5(x-1)=-0.5x+56.5

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Solution for 7.5(x-1)=-0.5x+56.5 equation: 


Simplifying
7.5(x + -1) = -0.5x + 56.5

Reorder the terms:
7.5(-1 + x) = -0.5x + 56.5
(-1 * 7.5 + x * 7.5) = -0.5x + 56.5
(-7.5 + 7.5x) = -0.5x + 56.5

Reorder the terms:
-7.5 + 7.5x = 56.5 + -0.5x

Solving
-7.5 + 7.5x = 56.5 + -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.
-7.5 + 7.5x + 0.5x = 56.5 + -0.5x + 0.5x

Combine like terms: 7.5x + 0.5x = 8x
-7.5 + 8x = 56.5 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-7.5 + 8x = 56.5 + 0.0
-7.5 + 8x = 56.5

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 8x = 56.5 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 8x = 56.5 + 7.5
8x = 56.5 + 7.5

Combine like terms: 56.5 + 7.5 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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