(3x-5)(x+4)=x(3x-7)+18

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Solution for (3x-5)(x+4)=x(3x-7)+18 equation: 


Simplifying
(3x + -5)(x + 4) = x(3x + -7) + 18

Reorder the terms:
(-5 + 3x)(x + 4) = x(3x + -7) + 18

Reorder the terms:
(-5 + 3x)(4 + x) = x(3x + -7) + 18

Multiply (-5 + 3x) * (4 + x)
(-5(4 + x) + 3x * (4 + x)) = x(3x + -7) + 18
((4 * -5 + x * -5) + 3x * (4 + x)) = x(3x + -7) + 18
((-20 + -5x) + 3x * (4 + x)) = x(3x + -7) + 18
(-20 + -5x + (4 * 3x + x * 3x)) = x(3x + -7) + 18
(-20 + -5x + (12x + 3x2)) = x(3x + -7) + 18

Combine like terms: -5x + 12x = 7x
(-20 + 7x + 3x2) = x(3x + -7) + 18

Reorder the terms:
-20 + 7x + 3x2 = x(-7 + 3x) + 18
-20 + 7x + 3x2 = (-7 * x + 3x * x) + 18
-20 + 7x + 3x2 = (-7x + 3x2) + 18

Reorder the terms:
-20 + 7x + 3x2 = 18 + -7x + 3x2

Add '-3x2' to each side of the equation.
-20 + 7x + 3x2 + -3x2 = 18 + -7x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-20 + 7x + 0 = 18 + -7x + 3x2 + -3x2
-20 + 7x = 18 + -7x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-20 + 7x = 18 + -7x + 0
-20 + 7x = 18 + -7x

Solving
-20 + 7x = 18 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-20 + 7x + 7x = 18 + -7x + 7x

Combine like terms: 7x + 7x = 14x
-20 + 14x = 18 + -7x + 7x

Combine like terms: -7x + 7x = 0
-20 + 14x = 18 + 0
-20 + 14x = 18

Add '20' to each side of the equation.
-20 + 20 + 14x = 18 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = 18 + 20
14x = 18 + 20

Combine like terms: 18 + 20 = 38
14x = 38

Divide each side by '14'.
x = 2.714285714

Simplifying
x = 2.714285714

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