0.38(x-55)+0.09x=0.82x-261.5

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Solution for 0.38(x-55)+0.09x=0.82x-261.5 equation:


Simplifying
0.38(x + -55) + 0.09x = 0.82x + -261.5

Reorder the terms:
0.38(-55 + x) + 0.09x = 0.82x + -261.5
(-55 * 0.38 + x * 0.38) + 0.09x = 0.82x + -261.5
(-20.9 + 0.38x) + 0.09x = 0.82x + -261.5

Combine like terms: 0.38x + 0.09x = 0.47x
-20.9 + 0.47x = 0.82x + -261.5

Reorder the terms:
-20.9 + 0.47x = -261.5 + 0.82x

Solving
-20.9 + 0.47x = -261.5 + 0.82x

Solving for variable 'x'.

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

Add '-0.82x' to each side of the equation.
-20.9 + 0.47x + -0.82x = -261.5 + 0.82x + -0.82x

Combine like terms: 0.47x + -0.82x = -0.35x
-20.9 + -0.35x = -261.5 + 0.82x + -0.82x

Combine like terms: 0.82x + -0.82x = 0.00
-20.9 + -0.35x = -261.5 + 0.00
-20.9 + -0.35x = -261.5

Add '20.9' to each side of the equation.
-20.9 + 20.9 + -0.35x = -261.5 + 20.9

Combine like terms: -20.9 + 20.9 = 0.0
0.0 + -0.35x = -261.5 + 20.9
-0.35x = -261.5 + 20.9

Combine like terms: -261.5 + 20.9 = -240.6
-0.35x = -240.6

Divide each side by '-0.35'.
x = 687.4285714

Simplifying
x = 687.4285714

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