0.2(0.5+3x)=0.3(4-1.5x)

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Solution for 0.2(0.5+3x)=0.3(4-1.5x) equation: 


Simplifying
0.2(0.5 + 3x) = 0.3(4 + -1.5x)
(0.5 * 0.2 + 3x * 0.2) = 0.3(4 + -1.5x)
(0.1 + 0.6x) = 0.3(4 + -1.5x)
0.1 + 0.6x = (4 * 0.3 + -1.5x * 0.3)
0.1 + 0.6x = (1.2 + -0.45x)

Solving
0.1 + 0.6x = 1.2 + -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.
0.1 + 0.6x + 0.45x = 1.2 + -0.45x + 0.45x

Combine like terms: 0.6x + 0.45x = 1.05x
0.1 + 1.05x = 1.2 + -0.45x + 0.45x

Combine like terms: -0.45x + 0.45x = 0.00
0.1 + 1.05x = 1.2 + 0.00
0.1 + 1.05x = 1.2

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 1.05x = 1.2 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 1.05x = 1.2 + -0.1
1.05x = 1.2 + -0.1

Combine like terms: 1.2 + -0.1 = 1.1
1.05x = 1.1

Divide each side by '1.05'.
x = 1.047619048

Simplifying
x = 1.047619048

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