4.6(x-3)=-0.4x+21.2

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Solution for 4.6(x-3)=-0.4x+21.2 equation: 


Simplifying
4.6(x + -3) = -0.4x + 21.2

Reorder the terms:
4.6(-3 + x) = -0.4x + 21.2
(-3 * 4.6 + x * 4.6) = -0.4x + 21.2
(-13.8 + 4.6x) = -0.4x + 21.2

Reorder the terms:
-13.8 + 4.6x = 21.2 + -0.4x

Solving
-13.8 + 4.6x = 21.2 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-13.8 + 4.6x + 0.4x = 21.2 + -0.4x + 0.4x

Combine like terms: 4.6x + 0.4x = 5x
-13.8 + 5x = 21.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-13.8 + 5x = 21.2 + 0.0
-13.8 + 5x = 21.2

Add '13.8' to each side of the equation.
-13.8 + 13.8 + 5x = 21.2 + 13.8

Combine like terms: -13.8 + 13.8 = 0.0
0.0 + 5x = 21.2 + 13.8
5x = 21.2 + 13.8

Combine like terms: 21.2 + 13.8 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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