1.6x+5=0.4(x+3)

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Solution for 1.6x+5=0.4(x+3) equation: 


Simplifying
1.6x + 5 = 0.4(x + 3)

Reorder the terms:
5 + 1.6x = 0.4(x + 3)

Reorder the terms:
5 + 1.6x = 0.4(3 + x)
5 + 1.6x = (3 * 0.4 + x * 0.4)
5 + 1.6x = (1.2 + 0.4x)

Solving
5 + 1.6x = 1.2 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
5 + 1.6x + -0.4x = 1.2 + 0.4x + -0.4x

Combine like terms: 1.6x + -0.4x = 1.2x
5 + 1.2x = 1.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
5 + 1.2x = 1.2 + 0.0
5 + 1.2x = 1.2

Add '-5' to each side of the equation.
5 + -5 + 1.2x = 1.2 + -5

Combine like terms: 5 + -5 = 0
0 + 1.2x = 1.2 + -5
1.2x = 1.2 + -5

Combine like terms: 1.2 + -5 = -3.8
1.2x = -3.8

Divide each side by '1.2'.
x = -3.166666667

Simplifying
x = -3.166666667

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