.285714286(15x+4)=.5(9x-20)+9

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Solution for .285714286(15x+4)=.5(9x-20)+9 equation: 


Simplifying
0.285714286(15x + 4) = 0.5(9x + -20) + 9

Reorder the terms:
0.285714286(4 + 15x) = 0.5(9x + -20) + 9
(4 * 0.285714286 + 15x * 0.285714286) = 0.5(9x + -20) + 9
(1.142857144 + 4.28571429x) = 0.5(9x + -20) + 9

Reorder the terms:
1.142857144 + 4.28571429x = 0.5(-20 + 9x) + 9
1.142857144 + 4.28571429x = (-20 * 0.5 + 9x * 0.5) + 9
1.142857144 + 4.28571429x = (-10 + 4.5x) + 9

Reorder the terms:
1.142857144 + 4.28571429x = -10 + 9 + 4.5x

Combine like terms: -10 + 9 = -1
1.142857144 + 4.28571429x = -1 + 4.5x

Solving
1.142857144 + 4.28571429x = -1 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
1.142857144 + 4.28571429x + -4.5x = -1 + 4.5x + -4.5x

Combine like terms: 4.28571429x + -4.5x = -0.21428571x
1.142857144 + -0.21428571x = -1 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
1.142857144 + -0.21428571x = -1 + 0.0
1.142857144 + -0.21428571x = -1

Add '-1.142857144' to each side of the equation.
1.142857144 + -1.142857144 + -0.21428571x = -1 + -1.142857144

Combine like terms: 1.142857144 + -1.142857144 = 0.000000000
0.000000000 + -0.21428571x = -1 + -1.142857144
-0.21428571x = -1 + -1.142857144

Combine like terms: -1 + -1.142857144 = -2.142857144
-0.21428571x = -2.142857144

Divide each side by '-0.21428571'.
x = 10.00000021

Simplifying
x = 10.00000021

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