0.4(x+1)=0.5(4x-2)

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Solution for 0.4(x+1)=0.5(4x-2) equation: 


Simplifying
0.4(x + 1) = 0.5(4x + -2)

Reorder the terms:
0.4(1 + x) = 0.5(4x + -2)
(1 * 0.4 + x * 0.4) = 0.5(4x + -2)
(0.4 + 0.4x) = 0.5(4x + -2)

Reorder the terms:
0.4 + 0.4x = 0.5(-2 + 4x)
0.4 + 0.4x = (-2 * 0.5 + 4x * 0.5)
0.4 + 0.4x = (-1 + 2x)

Solving
0.4 + 0.4x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0.4 + 0.4x + -2x = -1 + 2x + -2x

Combine like terms: 0.4x + -2x = -1.6x
0.4 + -1.6x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.4 + -1.6x = -1 + 0
0.4 + -1.6x = -1

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -1.6x = -1 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.6x = -1 + -0.4
-1.6x = -1 + -0.4

Combine like terms: -1 + -0.4 = -1.4
-1.6x = -1.4

Divide each side by '-1.6'.
x = 0.875

Simplifying
x = 0.875

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