-0.17x-0.04(4-6x)=0.04(x-6)-0.22

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Solution for -0.17x-0.04(4-6x)=0.04(x-6)-0.22 equation: 


Simplifying
-0.17x + -0.04(4 + -6x) = 0.04(x + -6) + -0.22
-0.17x + (4 * -0.04 + -6x * -0.04) = 0.04(x + -6) + -0.22
-0.17x + (-0.16 + 0.24x) = 0.04(x + -6) + -0.22

Reorder the terms:
-0.16 + -0.17x + 0.24x = 0.04(x + -6) + -0.22

Combine like terms: -0.17x + 0.24x = 0.07x
-0.16 + 0.07x = 0.04(x + -6) + -0.22

Reorder the terms:
-0.16 + 0.07x = 0.04(-6 + x) + -0.22
-0.16 + 0.07x = (-6 * 0.04 + x * 0.04) + -0.22
-0.16 + 0.07x = (-0.24 + 0.04x) + -0.22

Reorder the terms:
-0.16 + 0.07x = -0.24 + -0.22 + 0.04x

Combine like terms: -0.24 + -0.22 = -0.46
-0.16 + 0.07x = -0.46 + 0.04x

Solving
-0.16 + 0.07x = -0.46 + 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
-0.16 + 0.07x + -0.04x = -0.46 + 0.04x + -0.04x

Combine like terms: 0.07x + -0.04x = 0.03x
-0.16 + 0.03x = -0.46 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-0.16 + 0.03x = -0.46 + 0.00
-0.16 + 0.03x = -0.46

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.03x = -0.46 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.03x = -0.46 + 0.16
0.03x = -0.46 + 0.16

Combine like terms: -0.46 + 0.16 = -0.3
0.03x = -0.3

Divide each side by '0.03'.
x = -10

Simplifying
x = -10

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