0.16(x-2)=0.4(x+1)

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Solution for 0.16(x-2)=0.4(x+1) equation: 


Simplifying
0.16(x + -2) = 0.4(x + 1)

Reorder the terms:
0.16(-2 + x) = 0.4(x + 1)
(-2 * 0.16 + x * 0.16) = 0.4(x + 1)
(-0.32 + 0.16x) = 0.4(x + 1)

Reorder the terms:
-0.32 + 0.16x = 0.4(1 + x)
-0.32 + 0.16x = (1 * 0.4 + x * 0.4)
-0.32 + 0.16x = (0.4 + 0.4x)

Solving
-0.32 + 0.16x = 0.4 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
-0.32 + 0.16x + -0.4x = 0.4 + 0.4x + -0.4x

Combine like terms: 0.16x + -0.4x = -0.24x
-0.32 + -0.24x = 0.4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-0.32 + -0.24x = 0.4 + 0.0
-0.32 + -0.24x = 0.4

Add '0.32' to each side of the equation.
-0.32 + 0.32 + -0.24x = 0.4 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + -0.24x = 0.4 + 0.32
-0.24x = 0.4 + 0.32

Combine like terms: 0.4 + 0.32 = 0.72
-0.24x = 0.72

Divide each side by '-0.24'.
x = -3

Simplifying
x = -3

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