5.7(x-4)=-0.3x+19.2

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Solution for 5.7(x-4)=-0.3x+19.2 equation: 


Simplifying
5.7(x + -4) = -0.3x + 19.2

Reorder the terms:
5.7(-4 + x) = -0.3x + 19.2
(-4 * 5.7 + x * 5.7) = -0.3x + 19.2
(-22.8 + 5.7x) = -0.3x + 19.2

Reorder the terms:
-22.8 + 5.7x = 19.2 + -0.3x

Solving
-22.8 + 5.7x = 19.2 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-22.8 + 5.7x + 0.3x = 19.2 + -0.3x + 0.3x

Combine like terms: 5.7x + 0.3x = 6x
-22.8 + 6x = 19.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-22.8 + 6x = 19.2 + 0.0
-22.8 + 6x = 19.2

Add '22.8' to each side of the equation.
-22.8 + 22.8 + 6x = 19.2 + 22.8

Combine like terms: -22.8 + 22.8 = 0.0
0.0 + 6x = 19.2 + 22.8
6x = 19.2 + 22.8

Combine like terms: 19.2 + 22.8 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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