0.4(8x+32)=3.29(x+4)

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Solution for 0.4(8x+32)=3.29(x+4) equation: 


Simplifying
0.4(8x + 32) = 3.29(x + 4)

Reorder the terms:
0.4(32 + 8x) = 3.29(x + 4)
(32 * 0.4 + 8x * 0.4) = 3.29(x + 4)
(12.8 + 3.2x) = 3.29(x + 4)

Reorder the terms:
12.8 + 3.2x = 3.29(4 + x)
12.8 + 3.2x = (4 * 3.29 + x * 3.29)
12.8 + 3.2x = (13.16 + 3.29x)

Solving
12.8 + 3.2x = 13.16 + 3.29x

Solving for variable 'x'.

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

Add '-3.29x' to each side of the equation.
12.8 + 3.2x + -3.29x = 13.16 + 3.29x + -3.29x

Combine like terms: 3.2x + -3.29x = -0.09x
12.8 + -0.09x = 13.16 + 3.29x + -3.29x

Combine like terms: 3.29x + -3.29x = 0.00
12.8 + -0.09x = 13.16 + 0.00
12.8 + -0.09x = 13.16

Add '-12.8' to each side of the equation.
12.8 + -12.8 + -0.09x = 13.16 + -12.8

Combine like terms: 12.8 + -12.8 = 0.0
0.0 + -0.09x = 13.16 + -12.8
-0.09x = 13.16 + -12.8

Combine like terms: 13.16 + -12.8 = 0.36
-0.09x = 0.36

Divide each side by '-0.09'.
x = -4

Simplifying
x = -4

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