.2(x-25.5)+.3=-.2(x-16)

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Solution for .2(x-25.5)+.3=-.2(x-16) equation: 


Simplifying
0.2(x + -25.5) + 0.3 = -0.2(x + -16)

Reorder the terms:
0.2(-25.5 + x) + 0.3 = -0.2(x + -16)
(-25.5 * 0.2 + x * 0.2) + 0.3 = -0.2(x + -16)
(-5.1 + 0.2x) + 0.3 = -0.2(x + -16)

Reorder the terms:
-5.1 + 0.3 + 0.2x = -0.2(x + -16)

Combine like terms: -5.1 + 0.3 = -4.8
-4.8 + 0.2x = -0.2(x + -16)

Reorder the terms:
-4.8 + 0.2x = -0.2(-16 + x)
-4.8 + 0.2x = (-16 * -0.2 + x * -0.2)
-4.8 + 0.2x = (3.2 + -0.2x)

Solving
-4.8 + 0.2x = 3.2 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-4.8 + 0.2x + 0.2x = 3.2 + -0.2x + 0.2x

Combine like terms: 0.2x + 0.2x = 0.4x
-4.8 + 0.4x = 3.2 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-4.8 + 0.4x = 3.2 + 0.0
-4.8 + 0.4x = 3.2

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 0.4x = 3.2 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 0.4x = 3.2 + 4.8
0.4x = 3.2 + 4.8

Combine like terms: 3.2 + 4.8 = 8
0.4x = 8

Divide each side by '0.4'.
x = 20

Simplifying
x = 20

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