6(x+2)(x-7)=x(6x+6)-48

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Solution for 6(x+2)(x-7)=x(6x+6)-48 equation: 


Simplifying
6(x + 2)(x + -7) = x(6x + 6) + -48

Reorder the terms:
6(2 + x)(x + -7) = x(6x + 6) + -48

Reorder the terms:
6(2 + x)(-7 + x) = x(6x + 6) + -48

Multiply (2 + x) * (-7 + x)
6(2(-7 + x) + x(-7 + x)) = x(6x + 6) + -48
6((-7 * 2 + x * 2) + x(-7 + x)) = x(6x + 6) + -48
6((-14 + 2x) + x(-7 + x)) = x(6x + 6) + -48
6(-14 + 2x + (-7 * x + x * x)) = x(6x + 6) + -48
6(-14 + 2x + (-7x + x2)) = x(6x + 6) + -48

Combine like terms: 2x + -7x = -5x
6(-14 + -5x + x2) = x(6x + 6) + -48
(-14 * 6 + -5x * 6 + x2 * 6) = x(6x + 6) + -48
(-84 + -30x + 6x2) = x(6x + 6) + -48

Reorder the terms:
-84 + -30x + 6x2 = x(6 + 6x) + -48
-84 + -30x + 6x2 = (6 * x + 6x * x) + -48
-84 + -30x + 6x2 = (6x + 6x2) + -48

Reorder the terms:
-84 + -30x + 6x2 = -48 + 6x + 6x2

Add '-6x2' to each side of the equation.
-84 + -30x + 6x2 + -6x2 = -48 + 6x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-84 + -30x + 0 = -48 + 6x + 6x2 + -6x2
-84 + -30x = -48 + 6x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-84 + -30x = -48 + 6x + 0
-84 + -30x = -48 + 6x

Solving
-84 + -30x = -48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-84 + -30x + -6x = -48 + 6x + -6x

Combine like terms: -30x + -6x = -36x
-84 + -36x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-84 + -36x = -48 + 0
-84 + -36x = -48

Add '84' to each side of the equation.
-84 + 84 + -36x = -48 + 84

Combine like terms: -84 + 84 = 0
0 + -36x = -48 + 84
-36x = -48 + 84

Combine like terms: -48 + 84 = 36
-36x = 36

Divide each side by '-36'.
x = -1

Simplifying
x = -1

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