.6(21x+9)-20=.4(10x-10)

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Solution for .6(21x+9)-20=.4(10x-10) equation: 


Simplifying
0.6(21x + 9) + -20 = 0.4(10x + -10)

Reorder the terms:
0.6(9 + 21x) + -20 = 0.4(10x + -10)
(9 * 0.6 + 21x * 0.6) + -20 = 0.4(10x + -10)
(5.4 + 12.6x) + -20 = 0.4(10x + -10)

Reorder the terms:
5.4 + -20 + 12.6x = 0.4(10x + -10)

Combine like terms: 5.4 + -20 = -14.6
-14.6 + 12.6x = 0.4(10x + -10)

Reorder the terms:
-14.6 + 12.6x = 0.4(-10 + 10x)
-14.6 + 12.6x = (-10 * 0.4 + 10x * 0.4)
-14.6 + 12.6x = (-4 + 4x)

Solving
-14.6 + 12.6x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-14.6 + 12.6x + -4x = -4 + 4x + -4x

Combine like terms: 12.6x + -4x = 8.6x
-14.6 + 8.6x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14.6 + 8.6x = -4 + 0
-14.6 + 8.6x = -4

Add '14.6' to each side of the equation.
-14.6 + 14.6 + 8.6x = -4 + 14.6

Combine like terms: -14.6 + 14.6 = 0.0
0.0 + 8.6x = -4 + 14.6
8.6x = -4 + 14.6

Combine like terms: -4 + 14.6 = 10.6
8.6x = 10.6

Divide each side by '8.6'.
x = 1.23255814

Simplifying
x = 1.23255814

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