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

Reorder the terms for easier multiplication:
0.3 + 1.2x = 3[0.3 * -0.5x] + 8

Multiply 0.3 * -0.5
0.3 + 1.2x = 3[-0.15x] + 8

Remove brackets around [-0.15x]
0.3 + 1.2x = 3 * -0.15x + 8

Multiply 3 * -0.15
0.3 + 1.2x = -0.45x + 8

Reorder the terms:
0.3 + 1.2x = 8 + -0.45x

Solving
0.3 + 1.2x = 8 + -0.45x

Solving for variable 'x'.

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

Add '0.45x' to each side of the equation.
0.3 + 1.2x + 0.45x = 8 + -0.45x + 0.45x

Combine like terms: 1.2x + 0.45x = 1.65x
0.3 + 1.65x = 8 + -0.45x + 0.45x

Combine like terms: -0.45x + 0.45x = 0.00
0.3 + 1.65x = 8 + 0.00
0.3 + 1.65x = 8

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 1.65x = 8 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 1.65x = 8 + -0.3
1.65x = 8 + -0.3

Combine like terms: 8 + -0.3 = 7.7
1.65x = 7.7

Divide each side by '1.65'.
x = 4.666666667

Simplifying
x = 4.666666667

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