0.02(x-9)+0.06x=0.04x-0.4

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Solution for 0.02(x-9)+0.06x=0.04x-0.4 equation: 


Simplifying
0.02(x + -9) + 0.06x = 0.04x + -0.4

Reorder the terms:
0.02(-9 + x) + 0.06x = 0.04x + -0.4
(-9 * 0.02 + x * 0.02) + 0.06x = 0.04x + -0.4
(-0.18 + 0.02x) + 0.06x = 0.04x + -0.4

Combine like terms: 0.02x + 0.06x = 0.08x
-0.18 + 0.08x = 0.04x + -0.4

Reorder the terms:
-0.18 + 0.08x = -0.4 + 0.04x

Solving
-0.18 + 0.08x = -0.4 + 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.
-0.18 + 0.08x + -0.04x = -0.4 + 0.04x + -0.04x

Combine like terms: 0.08x + -0.04x = 0.04x
-0.18 + 0.04x = -0.4 + 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
-0.18 + 0.04x = -0.4 + 0.00
-0.18 + 0.04x = -0.4

Add '0.18' to each side of the equation.
-0.18 + 0.18 + 0.04x = -0.4 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 0.04x = -0.4 + 0.18
0.04x = -0.4 + 0.18

Combine like terms: -0.4 + 0.18 = -0.22
0.04x = -0.22

Divide each side by '0.04'.
x = -5.5

Simplifying
x = -5.5

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