7.8(X-2)=-0.2X+48.4

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Solution for 7.8(X-2)=-0.2X+48.4 equation:


Simplifying
7.8(X + -2) = -0.2X + 48.4

Reorder the terms:
7.8(-2 + X) = -0.2X + 48.4
(-2 * 7.8 + X * 7.8) = -0.2X + 48.4
(-15.6 + 7.8X) = -0.2X + 48.4

Reorder the terms:
-15.6 + 7.8X = 48.4 + -0.2X

Solving
-15.6 + 7.8X = 48.4 + -0.2X

Solving for variable 'X'.

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

Add '0.2X' to each side of the equation.
-15.6 + 7.8X + 0.2X = 48.4 + -0.2X + 0.2X

Combine like terms: 7.8X + 0.2X = 8X
-15.6 + 8X = 48.4 + -0.2X + 0.2X

Combine like terms: -0.2X + 0.2X = 0.0
-15.6 + 8X = 48.4 + 0.0
-15.6 + 8X = 48.4

Add '15.6' to each side of the equation.
-15.6 + 15.6 + 8X = 48.4 + 15.6

Combine like terms: -15.6 + 15.6 = 0.0
0.0 + 8X = 48.4 + 15.6
8X = 48.4 + 15.6

Combine like terms: 48.4 + 15.6 = 64
8X = 64

Divide each side by '8'.
X = 8

Simplifying
X = 8

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