1.5x-3.8+0.4(2x-5)=8

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Solution for 1.5x-3.8+0.4(2x-5)=8 equation: 


Simplifying
1.5x + -3.8 + 0.4(2x + -5) = 8

Reorder the terms:
1.5x + -3.8 + 0.4(-5 + 2x) = 8
1.5x + -3.8 + (-5 * 0.4 + 2x * 0.4) = 8
1.5x + -3.8 + (-2 + 0.8x) = 8

Reorder the terms:
-3.8 + -2 + 1.5x + 0.8x = 8

Combine like terms: -3.8 + -2 = -5.8
-5.8 + 1.5x + 0.8x = 8

Combine like terms: 1.5x + 0.8x = 2.3x
-5.8 + 2.3x = 8

Solving
-5.8 + 2.3x = 8

Solving for variable 'x'.

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

Add '5.8' to each side of the equation.
-5.8 + 5.8 + 2.3x = 8 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + 2.3x = 8 + 5.8
2.3x = 8 + 5.8

Combine like terms: 8 + 5.8 = 13.8
2.3x = 13.8

Divide each side by '2.3'.
x = 6

Simplifying
x = 6

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