0.6(2x+0.5)=3[0.3x+(-0.5)]+8

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Solution for 0.6(2x+0.5)=3[0.3x+(-0.5)]+8 equation: 


Simplifying
0.6(2x + 0.5) = 3[0.3x + (-0.5)] + 8

Reorder the terms:
0.6(0.5 + 2x) = 3[0.3x + (-0.5)] + 8
(0.5 * 0.6 + 2x * 0.6) = 3[0.3x + (-0.5)] + 8
(0.3 + 1.2x) = 3[0.3x + (-0.5)] + 8
0.3 + 1.2x = 3[0.3x + -0.5] + 8

Reorder the terms:
0.3 + 1.2x = 3[-0.5 + 0.3x] + 8
0.3 + 1.2x = [-0.5 * 3 + 0.3x * 3] + 8
0.3 + 1.2x = [-1.5 + 0.9x] + 8

Reorder the terms:
0.3 + 1.2x = -1.5 + 8 + 0.9x

Combine like terms: -1.5 + 8 = 6.5
0.3 + 1.2x = 6.5 + 0.9x

Solving
0.3 + 1.2x = 6.5 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
0.3 + 1.2x + -0.9x = 6.5 + 0.9x + -0.9x

Combine like terms: 1.2x + -0.9x = 0.3x
0.3 + 0.3x = 6.5 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
0.3 + 0.3x = 6.5 + 0.0
0.3 + 0.3x = 6.5

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.3x = 6.5 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.3x = 6.5 + -0.3
0.3x = 6.5 + -0.3

Combine like terms: 6.5 + -0.3 = 6.2
0.3x = 6.2

Divide each side by '0.3'.
x = 20.66666667

Simplifying
x = 20.66666667

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