0.05(0.4x-2.6)-0.25(0.8-0.2x)=2.26

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Solution for 0.05(0.4x-2.6)-0.25(0.8-0.2x)=2.26 equation: 


Simplifying
0.05(0.4x + -2.6) + -0.25(0.8 + -0.2x) = 2.26

Reorder the terms:
0.05(-2.6 + 0.4x) + -0.25(0.8 + -0.2x) = 2.26
(-2.6 * 0.05 + 0.4x * 0.05) + -0.25(0.8 + -0.2x) = 2.26
(-0.13 + 0.02x) + -0.25(0.8 + -0.2x) = 2.26
-0.13 + 0.02x + (0.8 * -0.25 + -0.2x * -0.25) = 2.26
-0.13 + 0.02x + (-0.2 + 0.05x) = 2.26

Reorder the terms:
-0.13 + -0.2 + 0.02x + 0.05x = 2.26

Combine like terms: -0.13 + -0.2 = -0.33
-0.33 + 0.02x + 0.05x = 2.26

Combine like terms: 0.02x + 0.05x = 0.07x
-0.33 + 0.07x = 2.26

Solving
-0.33 + 0.07x = 2.26

Solving for variable 'x'.

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

Add '0.33' to each side of the equation.
-0.33 + 0.33 + 0.07x = 2.26 + 0.33

Combine like terms: -0.33 + 0.33 = 0.00
0.00 + 0.07x = 2.26 + 0.33
0.07x = 2.26 + 0.33

Combine like terms: 2.26 + 0.33 = 2.59
0.07x = 2.59

Divide each side by '0.07'.
x = 37

Simplifying
x = 37

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