0.4(8x+16)=1.4(x+2)

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Solution for 0.4(8x+16)=1.4(x+2) equation: 


Simplifying
0.4(8x + 16) = 1.4(x + 2)

Reorder the terms:
0.4(16 + 8x) = 1.4(x + 2)
(16 * 0.4 + 8x * 0.4) = 1.4(x + 2)
(6.4 + 3.2x) = 1.4(x + 2)

Reorder the terms:
6.4 + 3.2x = 1.4(2 + x)
6.4 + 3.2x = (2 * 1.4 + x * 1.4)
6.4 + 3.2x = (2.8 + 1.4x)

Solving
6.4 + 3.2x = 2.8 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
6.4 + 3.2x + -1.4x = 2.8 + 1.4x + -1.4x

Combine like terms: 3.2x + -1.4x = 1.8x
6.4 + 1.8x = 2.8 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
6.4 + 1.8x = 2.8 + 0.0
6.4 + 1.8x = 2.8

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 1.8x = 2.8 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 1.8x = 2.8 + -6.4
1.8x = 2.8 + -6.4

Combine like terms: 2.8 + -6.4 = -3.6
1.8x = -3.6

Divide each side by '1.8'.
x = -2

Simplifying
x = -2

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