19.562x+4.5(3x-21)=0.5x-1

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Solution for 19.562x+4.5(3x-21)=0.5x-1 equation: 


Simplifying
19.562x + 4.5(3x + -21) = 0.5x + -1

Reorder the terms:
19.562x + 4.5(-21 + 3x) = 0.5x + -1
19.562x + (-21 * 4.5 + 3x * 4.5) = 0.5x + -1
19.562x + (-94.5 + 13.5x) = 0.5x + -1

Reorder the terms:
-94.5 + 19.562x + 13.5x = 0.5x + -1

Combine like terms: 19.562x + 13.5x = 33.062x
-94.5 + 33.062x = 0.5x + -1

Reorder the terms:
-94.5 + 33.062x = -1 + 0.5x

Solving
-94.5 + 33.062x = -1 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-94.5 + 33.062x + -0.5x = -1 + 0.5x + -0.5x

Combine like terms: 33.062x + -0.5x = 32.562x
-94.5 + 32.562x = -1 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-94.5 + 32.562x = -1 + 0.0
-94.5 + 32.562x = -1

Add '94.5' to each side of the equation.
-94.5 + 94.5 + 32.562x = -1 + 94.5

Combine like terms: -94.5 + 94.5 = 0.0
0.0 + 32.562x = -1 + 94.5
32.562x = -1 + 94.5

Combine like terms: -1 + 94.5 = 93.5
32.562x = 93.5

Divide each side by '32.562'.
x = 2.871445243

Simplifying
x = 2.871445243

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