0.2(10x+17)=3(0.2x+5)

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Solution for 0.2(10x+17)=3(0.2x+5) equation: 


Simplifying
0.2(10x + 17) = 3(0.2x + 5)

Reorder the terms:
0.2(17 + 10x) = 3(0.2x + 5)
(17 * 0.2 + 10x * 0.2) = 3(0.2x + 5)
(3.4 + 2x) = 3(0.2x + 5)

Reorder the terms:
3.4 + 2x = 3(5 + 0.2x)
3.4 + 2x = (5 * 3 + 0.2x * 3)
3.4 + 2x = (15 + 0.6x)

Solving
3.4 + 2x = 15 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
3.4 + 2x + -0.6x = 15 + 0.6x + -0.6x

Combine like terms: 2x + -0.6x = 1.4x
3.4 + 1.4x = 15 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
3.4 + 1.4x = 15 + 0.0
3.4 + 1.4x = 15

Add '-3.4' to each side of the equation.
3.4 + -3.4 + 1.4x = 15 + -3.4

Combine like terms: 3.4 + -3.4 = 0.0
0.0 + 1.4x = 15 + -3.4
1.4x = 15 + -3.4

Combine like terms: 15 + -3.4 = 11.6
1.4x = 11.6

Divide each side by '1.4'.
x = 8.285714286

Simplifying
x = 8.285714286

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