0.6(x+0.6)=0.8(x-4.8)

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Solution for 0.6(x+0.6)=0.8(x-4.8) equation: 


Simplifying
0.6(x + 0.6) = 0.8(x + -4.8)

Reorder the terms:
0.6(0.6 + x) = 0.8(x + -4.8)
(0.6 * 0.6 + x * 0.6) = 0.8(x + -4.8)
(0.36 + 0.6x) = 0.8(x + -4.8)

Reorder the terms:
0.36 + 0.6x = 0.8(-4.8 + x)
0.36 + 0.6x = (-4.8 * 0.8 + x * 0.8)
0.36 + 0.6x = (-3.84 + 0.8x)

Solving
0.36 + 0.6x = -3.84 + 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.
0.36 + 0.6x + -0.8x = -3.84 + 0.8x + -0.8x

Combine like terms: 0.6x + -0.8x = -0.2x
0.36 + -0.2x = -3.84 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.36 + -0.2x = -3.84 + 0.0
0.36 + -0.2x = -3.84

Add '-0.36' to each side of the equation.
0.36 + -0.36 + -0.2x = -3.84 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + -0.2x = -3.84 + -0.36
-0.2x = -3.84 + -0.36

Combine like terms: -3.84 + -0.36 = -4.2
-0.2x = -4.2

Divide each side by '-0.2'.
x = 21

Simplifying
x = 21

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