0.4(x+1)-5=3x-2

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Solution for 0.4(x+1)-5=3x-2 equation: 


Simplifying
0.4(x + 1) + -5 = 3x + -2

Reorder the terms:
0.4(1 + x) + -5 = 3x + -2
(1 * 0.4 + x * 0.4) + -5 = 3x + -2
(0.4 + 0.4x) + -5 = 3x + -2

Reorder the terms:
0.4 + -5 + 0.4x = 3x + -2

Combine like terms: 0.4 + -5 = -4.6
-4.6 + 0.4x = 3x + -2

Reorder the terms:
-4.6 + 0.4x = -2 + 3x

Solving
-4.6 + 0.4x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4.6 + 0.4x + -3x = -2 + 3x + -3x

Combine like terms: 0.4x + -3x = -2.6x
-4.6 + -2.6x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4.6 + -2.6x = -2 + 0
-4.6 + -2.6x = -2

Add '4.6' to each side of the equation.
-4.6 + 4.6 + -2.6x = -2 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + -2.6x = -2 + 4.6
-2.6x = -2 + 4.6

Combine like terms: -2 + 4.6 = 2.6
-2.6x = 2.6

Divide each side by '-2.6'.
x = -1

Simplifying
x = -1

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