0.3(10x+19)=2.8(0.2x+5)

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Solution for 0.3(10x+19)=2.8(0.2x+5) equation: 


Simplifying
0.3(10x + 19) = 2.8(0.2x + 5)

Reorder the terms:
0.3(19 + 10x) = 2.8(0.2x + 5)
(19 * 0.3 + 10x * 0.3) = 2.8(0.2x + 5)
(5.7 + 3x) = 2.8(0.2x + 5)

Reorder the terms:
5.7 + 3x = 2.8(5 + 0.2x)
5.7 + 3x = (5 * 2.8 + 0.2x * 2.8)
5.7 + 3x = (14 + 0.56x)

Solving
5.7 + 3x = 14 + 0.56x

Solving for variable 'x'.

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

Add '-0.56x' to each side of the equation.
5.7 + 3x + -0.56x = 14 + 0.56x + -0.56x

Combine like terms: 3x + -0.56x = 2.44x
5.7 + 2.44x = 14 + 0.56x + -0.56x

Combine like terms: 0.56x + -0.56x = 0.00
5.7 + 2.44x = 14 + 0.00
5.7 + 2.44x = 14

Add '-5.7' to each side of the equation.
5.7 + -5.7 + 2.44x = 14 + -5.7

Combine like terms: 5.7 + -5.7 = 0.0
0.0 + 2.44x = 14 + -5.7
2.44x = 14 + -5.7

Combine like terms: 14 + -5.7 = 8.3
2.44x = 8.3

Divide each side by '2.44'.
x = 3.401639344

Simplifying
x = 3.401639344

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