0.4(48)+0.16x=0.8(x+48)

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Solution for 0.4(48)+0.16x=0.8(x+48) equation: 


Simplifying
0.4(48) + 0.16x = 0.8(x + 48)

Multiply 0.4 * 48
19.2 + 0.16x = 0.8(x + 48)

Reorder the terms:
19.2 + 0.16x = 0.8(48 + x)
19.2 + 0.16x = (48 * 0.8 + x * 0.8)
19.2 + 0.16x = (38.4 + 0.8x)

Solving
19.2 + 0.16x = 38.4 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
19.2 + 0.16x + -0.8x = 38.4 + 0.8x + -0.8x

Combine like terms: 0.16x + -0.8x = -0.64x
19.2 + -0.64x = 38.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
19.2 + -0.64x = 38.4 + 0.0
19.2 + -0.64x = 38.4

Add '-19.2' to each side of the equation.
19.2 + -19.2 + -0.64x = 38.4 + -19.2

Combine like terms: 19.2 + -19.2 = 0.0
0.0 + -0.64x = 38.4 + -19.2
-0.64x = 38.4 + -19.2

Combine like terms: 38.4 + -19.2 = 19.2
-0.64x = 19.2

Divide each side by '-0.64'.
x = -30

Simplifying
x = -30

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