7.5(x-2)=-0.5x+49

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Solution for 7.5(x-2)=-0.5x+49 equation:


Simplifying
7.5(x + -2) = -0.5x + 49

Reorder the terms:
7.5(-2 + x) = -0.5x + 49
(-2 * 7.5 + x * 7.5) = -0.5x + 49
(-15 + 7.5x) = -0.5x + 49

Reorder the terms:
-15 + 7.5x = 49 + -0.5x

Solving
-15 + 7.5x = 49 + -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.
-15 + 7.5x + 0.5x = 49 + -0.5x + 0.5x

Combine like terms: 7.5x + 0.5x = 8x
-15 + 8x = 49 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
-15 + 8x = 49 + 0.0
-15 + 8x = 49

Add '15' to each side of the equation.
-15 + 15 + 8x = 49 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = 49 + 15
8x = 49 + 15

Combine like terms: 49 + 15 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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