0.16(0.5x-2)=0.1(4-0.1x)

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Solution for 0.16(0.5x-2)=0.1(4-0.1x) equation: 


Simplifying
0.16(0.5x + -2) = 0.1(4 + -0.1x)

Reorder the terms:
0.16(-2 + 0.5x) = 0.1(4 + -0.1x)
(-2 * 0.16 + 0.5x * 0.16) = 0.1(4 + -0.1x)
(-0.32 + 0.08x) = 0.1(4 + -0.1x)
-0.32 + 0.08x = (4 * 0.1 + -0.1x * 0.1)
-0.32 + 0.08x = (0.4 + -0.01x)

Solving
-0.32 + 0.08x = 0.4 + -0.01x

Solving for variable 'x'.

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

Add '0.01x' to each side of the equation.
-0.32 + 0.08x + 0.01x = 0.4 + -0.01x + 0.01x

Combine like terms: 0.08x + 0.01x = 0.09x
-0.32 + 0.09x = 0.4 + -0.01x + 0.01x

Combine like terms: -0.01x + 0.01x = 0.00
-0.32 + 0.09x = 0.4 + 0.00
-0.32 + 0.09x = 0.4

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.09x = 0.4 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.09x = 0.4 + 0.32
0.09x = 0.4 + 0.32

Combine like terms: 0.4 + 0.32 = 0.72
0.09x = 0.72

Divide each side by '0.09'.
x = 8

Simplifying
x = 8

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