2(x-8)(x+18)=2(x-12)(x-12)

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Solution for 2(x-8)(x+18)=2(x-12)(x-12) equation: 


Simplifying
2(x + -8)(x + 18) = 2(x + -12)(x + -12)

Reorder the terms:
2(-8 + x)(x + 18) = 2(x + -12)(x + -12)

Reorder the terms:
2(-8 + x)(18 + x) = 2(x + -12)(x + -12)

Multiply (-8 + x) * (18 + x)
2(-8(18 + x) + x(18 + x)) = 2(x + -12)(x + -12)
2((18 * -8 + x * -8) + x(18 + x)) = 2(x + -12)(x + -12)
2((-144 + -8x) + x(18 + x)) = 2(x + -12)(x + -12)
2(-144 + -8x + (18 * x + x * x)) = 2(x + -12)(x + -12)
2(-144 + -8x + (18x + x2)) = 2(x + -12)(x + -12)

Combine like terms: -8x + 18x = 10x
2(-144 + 10x + x2) = 2(x + -12)(x + -12)
(-144 * 2 + 10x * 2 + x2 * 2) = 2(x + -12)(x + -12)
(-288 + 20x + 2x2) = 2(x + -12)(x + -12)

Reorder the terms:
-288 + 20x + 2x2 = 2(-12 + x)(x + -12)

Reorder the terms:
-288 + 20x + 2x2 = 2(-12 + x)(-12 + x)

Multiply (-12 + x) * (-12 + x)
-288 + 20x + 2x2 = 2(-12(-12 + x) + x(-12 + x))
-288 + 20x + 2x2 = 2((-12 * -12 + x * -12) + x(-12 + x))
-288 + 20x + 2x2 = 2((144 + -12x) + x(-12 + x))
-288 + 20x + 2x2 = 2(144 + -12x + (-12 * x + x * x))
-288 + 20x + 2x2 = 2(144 + -12x + (-12x + x2))

Combine like terms: -12x + -12x = -24x
-288 + 20x + 2x2 = 2(144 + -24x + x2)
-288 + 20x + 2x2 = (144 * 2 + -24x * 2 + x2 * 2)
-288 + 20x + 2x2 = (288 + -48x + 2x2)

Add '-2x2' to each side of the equation.
-288 + 20x + 2x2 + -2x2 = 288 + -48x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-288 + 20x + 0 = 288 + -48x + 2x2 + -2x2
-288 + 20x = 288 + -48x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-288 + 20x = 288 + -48x + 0
-288 + 20x = 288 + -48x

Solving
-288 + 20x = 288 + -48x

Solving for variable 'x'.

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

Add '48x' to each side of the equation.
-288 + 20x + 48x = 288 + -48x + 48x

Combine like terms: 20x + 48x = 68x
-288 + 68x = 288 + -48x + 48x

Combine like terms: -48x + 48x = 0
-288 + 68x = 288 + 0
-288 + 68x = 288

Add '288' to each side of the equation.
-288 + 288 + 68x = 288 + 288

Combine like terms: -288 + 288 = 0
0 + 68x = 288 + 288
68x = 288 + 288

Combine like terms: 288 + 288 = 576
68x = 576

Divide each side by '68'.
x = 8.470588235

Simplifying
x = 8.470588235

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