.2(x-255)+.3=-.2(x-16)

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Solution for .2(x-255)+.3=-.2(x-16) equation:


Simplifying
0.2(x + -255) + 0.3 = -0.2(x + -16)

Reorder the terms:
0.2(-255 + x) + 0.3 = -0.2(x + -16)
(-255 * 0.2 + x * 0.2) + 0.3 = -0.2(x + -16)
(-51 + 0.2x) + 0.3 = -0.2(x + -16)

Reorder the terms:
-51 + 0.3 + 0.2x = -0.2(x + -16)

Combine like terms: -51 + 0.3 = -50.7
-50.7 + 0.2x = -0.2(x + -16)

Reorder the terms:
-50.7 + 0.2x = -0.2(-16 + x)
-50.7 + 0.2x = (-16 * -0.2 + x * -0.2)
-50.7 + 0.2x = (3.2 + -0.2x)

Solving
-50.7 + 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.
-50.7 + 0.2x + 0.2x = 3.2 + -0.2x + 0.2x

Combine like terms: 0.2x + 0.2x = 0.4x
-50.7 + 0.4x = 3.2 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-50.7 + 0.4x = 3.2 + 0.0
-50.7 + 0.4x = 3.2

Add '50.7' to each side of the equation.
-50.7 + 50.7 + 0.4x = 3.2 + 50.7

Combine like terms: -50.7 + 50.7 = 0.0
0.0 + 0.4x = 3.2 + 50.7
0.4x = 3.2 + 50.7

Combine like terms: 3.2 + 50.7 = 53.9
0.4x = 53.9

Divide each side by '0.4'.
x = 134.75

Simplifying
x = 134.75

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