4.7(x-4)=-0.3x+21.2

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Solution for 4.7(x-4)=-0.3x+21.2 equation: 


Simplifying
4.7(x + -4) = -0.3x + 21.2

Reorder the terms:
4.7(-4 + x) = -0.3x + 21.2
(-4 * 4.7 + x * 4.7) = -0.3x + 21.2
(-18.8 + 4.7x) = -0.3x + 21.2

Reorder the terms:
-18.8 + 4.7x = 21.2 + -0.3x

Solving
-18.8 + 4.7x = 21.2 + -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.
-18.8 + 4.7x + 0.3x = 21.2 + -0.3x + 0.3x

Combine like terms: 4.7x + 0.3x = 5x
-18.8 + 5x = 21.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-18.8 + 5x = 21.2 + 0.0
-18.8 + 5x = 21.2

Add '18.8' to each side of the equation.
-18.8 + 18.8 + 5x = 21.2 + 18.8

Combine like terms: -18.8 + 18.8 = 0.0
0.0 + 5x = 21.2 + 18.8
5x = 21.2 + 18.8

Combine like terms: 21.2 + 18.8 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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