3x*4(x-2)=7+x

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Solution for 3x*4(x-2)=7+x equation: 


Simplifying
3x * 4(x + -2) = 7 + x

Reorder the terms:
3x * 4(-2 + x) = 7 + x

Reorder the terms for easier multiplication:
3 * 4x(-2 + x) = 7 + x

Multiply 3 * 4
12x(-2 + x) = 7 + x
(-2 * 12x + x * 12x) = 7 + x
(-24x + 12x2) = 7 + x

Solving
-24x + 12x2 = 7 + x

Solving for variable 'x'.

Reorder the terms:
-7 + -24x + -1x + 12x2 = 7 + x + -7 + -1x

Combine like terms: -24x + -1x = -25x
-7 + -25x + 12x2 = 7 + x + -7 + -1x

Reorder the terms:
-7 + -25x + 12x2 = 7 + -7 + x + -1x

Combine like terms: 7 + -7 = 0
-7 + -25x + 12x2 = 0 + x + -1x
-7 + -25x + 12x2 = x + -1x

Combine like terms: x + -1x = 0
-7 + -25x + 12x2 = 0

Factor a trinomial.
(-1 + -4x)(7 + -3x) = 0


Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-0.25, 2.333333333}

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