3(12x+9)-(x+45)=12(x+0.4285714285714286)

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Solution for 3(12x+9)-(x+45)=12(x+0.4285714285714286) equation:


Simplifying
3(12x + 9) + -1(x + 45) = 12(x + 0.4285714285714286)

Reorder the terms:
3(9 + 12x) + -1(x + 45) = 12(x + 0.4285714285714286)
(9 * 3 + 12x * 3) + -1(x + 45) = 12(x + 0.4285714285714286)
(27 + 36x) + -1(x + 45) = 12(x + 0.4285714285714286)

Reorder the terms:
27 + 36x + -1(45 + x) = 12(x + 0.4285714285714286)
27 + 36x + (45 * -1 + x * -1) = 12(x + 0.4285714285714286)
27 + 36x + (-45 + -1x) = 12(x + 0.4285714285714286)

Reorder the terms:
27 + -45 + 36x + -1x = 12(x + 0.4285714285714286)

Combine like terms: 27 + -45 = -18
-18 + 36x + -1x = 12(x + 0.4285714285714286)

Combine like terms: 36x + -1x = 35x
-18 + 35x = 12(x + 0.4285714285714286)

Reorder the terms:
-18 + 35x = 12(0.4285714285714286 + x)
-18 + 35x = (0.4285714285714286 * 12 + x * 12)
-18 + 35x = (5.142857143 + 12x)

Solving
-18 + 35x = 5.142857143 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-18 + 35x + -12x = 5.142857143 + 12x + -12x

Combine like terms: 35x + -12x = 23x
-18 + 23x = 5.142857143 + 12x + -12x

Combine like terms: 12x + -12x = 0
-18 + 23x = 5.142857143 + 0
-18 + 23x = 5.142857143

Add '18' to each side of the equation.
-18 + 18 + 23x = 5.142857143 + 18

Combine like terms: -18 + 18 = 0
0 + 23x = 5.142857143 + 18
23x = 5.142857143 + 18

Combine like terms: 5.142857143 + 18 = 23.142857143
23x = 23.142857143

Divide each side by '23'.
x = 1.00621118

Simplifying
x = 1.00621118

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