13-0.4(x-9)=0.6(10x-9)

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Solution for 13-0.4(x-9)=0.6(10x-9) equation: 


Simplifying
13 + -0.4(x + -9) = 0.6(10x + -9)

Reorder the terms:
13 + -0.4(-9 + x) = 0.6(10x + -9)
13 + (-9 * -0.4 + x * -0.4) = 0.6(10x + -9)
13 + (3.6 + -0.4x) = 0.6(10x + -9)

Combine like terms: 13 + 3.6 = 16.6
16.6 + -0.4x = 0.6(10x + -9)

Reorder the terms:
16.6 + -0.4x = 0.6(-9 + 10x)
16.6 + -0.4x = (-9 * 0.6 + 10x * 0.6)
16.6 + -0.4x = (-5.4 + 6x)

Solving
16.6 + -0.4x = -5.4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16.6 + -0.4x + -6x = -5.4 + 6x + -6x

Combine like terms: -0.4x + -6x = -6.4x
16.6 + -6.4x = -5.4 + 6x + -6x

Combine like terms: 6x + -6x = 0
16.6 + -6.4x = -5.4 + 0
16.6 + -6.4x = -5.4

Add '-16.6' to each side of the equation.
16.6 + -16.6 + -6.4x = -5.4 + -16.6

Combine like terms: 16.6 + -16.6 = 0.0
0.0 + -6.4x = -5.4 + -16.6
-6.4x = -5.4 + -16.6

Combine like terms: -5.4 + -16.6 = -22
-6.4x = -22

Divide each side by '-6.4'.
x = 3.4375

Simplifying
x = 3.4375

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