-3(x+2)5x+12=x

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Solution for -3(x+2)5x+12=x equation: 


Simplifying
-3(x + 2) * 5x + 12 = x

Reorder the terms:
-3(2 + x) * 5x + 12 = x

Reorder the terms for easier multiplication:
-3 * 5x(2 + x) + 12 = x

Multiply -3 * 5
-15x(2 + x) + 12 = x
(2 * -15x + x * -15x) + 12 = x
(-30x + -15x2) + 12 = x

Reorder the terms:
12 + -30x + -15x2 = x

Solving
12 + -30x + -15x2 = x

Solving for variable 'x'.

Reorder the terms:
12 + -30x + -1x + -15x2 = x + -1x

Combine like terms: -30x + -1x = -31x
12 + -31x + -15x2 = x + -1x

Combine like terms: x + -1x = 0
12 + -31x + -15x2 = 0

Factor a trinomial.
(1 + -3x)(12 + 5x) = 0


Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(12 + 5x)' equal to zero and attempt to solve:

Simplifying
12 + 5x = 0

Solving
12 + 5x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 0 + -12
5x = 0 + -12

Combine like terms: 0 + -12 = -12
5x = -12

Divide each side by '5'.
x = -2.4

Simplifying
x = -2.4
Solution
x = {0.3333333333, -2.4}

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