4.7(x-3)=-0.3x+10.9

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Solution for 4.7(x-3)=-0.3x+10.9 equation: 


Simplifying
4.7(x + -3) = -0.3x + 10.9

Reorder the terms:
4.7(-3 + x) = -0.3x + 10.9
(-3 * 4.7 + x * 4.7) = -0.3x + 10.9
(-14.1 + 4.7x) = -0.3x + 10.9

Reorder the terms:
-14.1 + 4.7x = 10.9 + -0.3x

Solving
-14.1 + 4.7x = 10.9 + -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.
-14.1 + 4.7x + 0.3x = 10.9 + -0.3x + 0.3x

Combine like terms: 4.7x + 0.3x = 5x
-14.1 + 5x = 10.9 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-14.1 + 5x = 10.9 + 0.0
-14.1 + 5x = 10.9

Add '14.1' to each side of the equation.
-14.1 + 14.1 + 5x = 10.9 + 14.1

Combine like terms: -14.1 + 14.1 = 0.0
0.0 + 5x = 10.9 + 14.1
5x = 10.9 + 14.1

Combine like terms: 10.9 + 14.1 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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