0.4(2x+1)=3(3-4x)+17

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Solution for 0.4(2x+1)=3(3-4x)+17 equation: 


Simplifying
0.4(2x + 1) = 3(3 + -4x) + 17

Reorder the terms:
0.4(1 + 2x) = 3(3 + -4x) + 17
(1 * 0.4 + 2x * 0.4) = 3(3 + -4x) + 17
(0.4 + 0.8x) = 3(3 + -4x) + 17
0.4 + 0.8x = (3 * 3 + -4x * 3) + 17
0.4 + 0.8x = (9 + -12x) + 17

Reorder the terms:
0.4 + 0.8x = 9 + 17 + -12x

Combine like terms: 9 + 17 = 26
0.4 + 0.8x = 26 + -12x

Solving
0.4 + 0.8x = 26 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
0.4 + 0.8x + 12x = 26 + -12x + 12x

Combine like terms: 0.8x + 12x = 12.8x
0.4 + 12.8x = 26 + -12x + 12x

Combine like terms: -12x + 12x = 0
0.4 + 12.8x = 26 + 0
0.4 + 12.8x = 26

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 12.8x = 26 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 12.8x = 26 + -0.4
12.8x = 26 + -0.4

Combine like terms: 26 + -0.4 = 25.6
12.8x = 25.6

Divide each side by '12.8'.
x = 2

Simplifying
x = 2

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