0.4(x-4)+0.8(x+1)=1.9

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Solution for 0.4(x-4)+0.8(x+1)=1.9 equation: 


Simplifying
0.4(x + -4) + 0.8(x + 1) = 1.9

Reorder the terms:
0.4(-4 + x) + 0.8(x + 1) = 1.9
(-4 * 0.4 + x * 0.4) + 0.8(x + 1) = 1.9
(-1.6 + 0.4x) + 0.8(x + 1) = 1.9

Reorder the terms:
-1.6 + 0.4x + 0.8(1 + x) = 1.9
-1.6 + 0.4x + (1 * 0.8 + x * 0.8) = 1.9
-1.6 + 0.4x + (0.8 + 0.8x) = 1.9

Reorder the terms:
-1.6 + 0.8 + 0.4x + 0.8x = 1.9

Combine like terms: -1.6 + 0.8 = -0.8
-0.8 + 0.4x + 0.8x = 1.9

Combine like terms: 0.4x + 0.8x = 1.2x
-0.8 + 1.2x = 1.9

Solving
-0.8 + 1.2x = 1.9

Solving for variable 'x'.

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 1.2x = 1.9 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 1.2x = 1.9 + 0.8
1.2x = 1.9 + 0.8

Combine like terms: 1.9 + 0.8 = 2.7
1.2x = 2.7

Divide each side by '1.2'.
x = 2.25

Simplifying
x = 2.25

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