0.02(x-8)+0.08x=0.20x-0.9

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Solution for 0.02(x-8)+0.08x=0.20x-0.9 equation: 


Simplifying
0.02(x + -8) + 0.08x = 0.20x + -0.9

Reorder the terms:
0.02(-8 + x) + 0.08x = 0.20x + -0.9
(-8 * 0.02 + x * 0.02) + 0.08x = 0.20x + -0.9
(-0.16 + 0.02x) + 0.08x = 0.20x + -0.9

Combine like terms: 0.02x + 0.08x = 0.1x
-0.16 + 0.1x = 0.20x + -0.9

Reorder the terms:
-0.16 + 0.1x = -0.9 + 0.20x

Solving
-0.16 + 0.1x = -0.9 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
-0.16 + 0.1x + -0.20x = -0.9 + 0.20x + -0.20x

Combine like terms: 0.1x + -0.20x = -0.1x
-0.16 + -0.1x = -0.9 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
-0.16 + -0.1x = -0.9 + 0.00
-0.16 + -0.1x = -0.9

Add '0.16' to each side of the equation.
-0.16 + 0.16 + -0.1x = -0.9 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + -0.1x = -0.9 + 0.16
-0.1x = -0.9 + 0.16

Combine like terms: -0.9 + 0.16 = -0.74
-0.1x = -0.74

Divide each side by '-0.1'.
x = 7.4

Simplifying
x = 7.4

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