(1.3x-2.5x)-(3.8x-2.3)=3.7

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Solution for (1.3x-2.5x)-(3.8x-2.3)=3.7 equation: 


Simplifying
(1.3x + -2.5x) + -1(3.8x + -2.3) = 3.7

Combine like terms: 1.3x + -2.5x = -1.2x
(-1.2x) + -1(3.8x + -2.3) = 3.7
(-1.2x) + -1(3.8x + -2.3) = 3.7

Reorder the terms:
(-1.2x) + -1(-2.3 + 3.8x) = 3.7
(-1.2x) + (-2.3 * -1 + 3.8x * -1) = 3.7
(-1.2x) + (2.3 + -3.8x) = 3.7

Reorder the terms:
2.3 + (-1.2x) + -3.8x = 3.7

Combine like terms: (-1.2x) + -3.8x = -5x
2.3 + -5x = 3.7

Solving
2.3 + -5x = 3.7

Solving for variable 'x'.

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

Add '-2.3' to each side of the equation.
2.3 + -2.3 + -5x = 3.7 + -2.3

Combine like terms: 2.3 + -2.3 = 0.0
0.0 + -5x = 3.7 + -2.3
-5x = 3.7 + -2.3

Combine like terms: 3.7 + -2.3 = 1.4
-5x = 1.4

Divide each side by '-5'.
x = -0.28

Simplifying
x = -0.28

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