0.36(2x-5)-0.76(3x+2)+0.83=30.27

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Solution for 0.36(2x-5)-0.76(3x+2)+0.83=30.27 equation: 


Simplifying
0.36(2x + -5) + -0.76(3x + 2) + 0.83 = 30.27

Reorder the terms:
0.36(-5 + 2x) + -0.76(3x + 2) + 0.83 = 30.27
(-5 * 0.36 + 2x * 0.36) + -0.76(3x + 2) + 0.83 = 30.27
(-1.8 + 0.72x) + -0.76(3x + 2) + 0.83 = 30.27

Reorder the terms:
-1.8 + 0.72x + -0.76(2 + 3x) + 0.83 = 30.27
-1.8 + 0.72x + (2 * -0.76 + 3x * -0.76) + 0.83 = 30.27
-1.8 + 0.72x + (-1.52 + -2.28x) + 0.83 = 30.27

Reorder the terms:
-1.8 + -1.52 + 0.83 + 0.72x + -2.28x = 30.27

Combine like terms: -1.8 + -1.52 = -3.32
-3.32 + 0.83 + 0.72x + -2.28x = 30.27

Combine like terms: -3.32 + 0.83 = -2.49
-2.49 + 0.72x + -2.28x = 30.27

Combine like terms: 0.72x + -2.28x = -1.56x
-2.49 + -1.56x = 30.27

Solving
-2.49 + -1.56x = 30.27

Solving for variable 'x'.

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

Add '2.49' to each side of the equation.
-2.49 + 2.49 + -1.56x = 30.27 + 2.49

Combine like terms: -2.49 + 2.49 = 0.00
0.00 + -1.56x = 30.27 + 2.49
-1.56x = 30.27 + 2.49

Combine like terms: 30.27 + 2.49 = 32.76
-1.56x = 32.76

Divide each side by '-1.56'.
x = -21

Simplifying
x = -21

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