3(x-2)*2(x+5)=3(x+1)*2(x-1)+3

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Solution for 3(x-2)*2(x+5)=3(x+1)*2(x-1)+3 equation: 


Simplifying
3(x + -2) * 2(x + 5) = 3(x + 1) * 2(x + -1) + 3

Reorder the terms:
3(-2 + x) * 2(x + 5) = 3(x + 1) * 2(x + -1) + 3

Reorder the terms:
3(-2 + x) * 2(5 + x) = 3(x + 1) * 2(x + -1) + 3

Reorder the terms for easier multiplication:
3 * 2(-2 + x)(5 + x) = 3(x + 1) * 2(x + -1) + 3

Multiply 3 * 2
6(-2 + x)(5 + x) = 3(x + 1) * 2(x + -1) + 3

Multiply (-2 + x) * (5 + x)
6(-2(5 + x) + x(5 + x)) = 3(x + 1) * 2(x + -1) + 3
6((5 * -2 + x * -2) + x(5 + x)) = 3(x + 1) * 2(x + -1) + 3
6((-10 + -2x) + x(5 + x)) = 3(x + 1) * 2(x + -1) + 3
6(-10 + -2x + (5 * x + x * x)) = 3(x + 1) * 2(x + -1) + 3
6(-10 + -2x + (5x + x2)) = 3(x + 1) * 2(x + -1) + 3

Combine like terms: -2x + 5x = 3x
6(-10 + 3x + x2) = 3(x + 1) * 2(x + -1) + 3
(-10 * 6 + 3x * 6 + x2 * 6) = 3(x + 1) * 2(x + -1) + 3
(-60 + 18x + 6x2) = 3(x + 1) * 2(x + -1) + 3

Reorder the terms:
-60 + 18x + 6x2 = 3(1 + x) * 2(x + -1) + 3

Reorder the terms:
-60 + 18x + 6x2 = 3(1 + x) * 2(-1 + x) + 3

Reorder the terms for easier multiplication:
-60 + 18x + 6x2 = 3 * 2(1 + x)(-1 + x) + 3

Multiply 3 * 2
-60 + 18x + 6x2 = 6(1 + x)(-1 + x) + 3

Multiply (1 + x) * (-1 + x)
-60 + 18x + 6x2 = 6(1(-1 + x) + x(-1 + x)) + 3
-60 + 18x + 6x2 = 6((-1 * 1 + x * 1) + x(-1 + x)) + 3
-60 + 18x + 6x2 = 6((-1 + 1x) + x(-1 + x)) + 3
-60 + 18x + 6x2 = 6(-1 + 1x + (-1 * x + x * x)) + 3
-60 + 18x + 6x2 = 6(-1 + 1x + (-1x + x2)) + 3

Combine like terms: 1x + -1x = 0
-60 + 18x + 6x2 = 6(-1 + 0 + x2) + 3
-60 + 18x + 6x2 = 6(-1 + x2) + 3
-60 + 18x + 6x2 = (-1 * 6 + x2 * 6) + 3
-60 + 18x + 6x2 = (-6 + 6x2) + 3

Reorder the terms:
-60 + 18x + 6x2 = -6 + 3 + 6x2

Combine like terms: -6 + 3 = -3
-60 + 18x + 6x2 = -3 + 6x2

Add '-6x2' to each side of the equation.
-60 + 18x + 6x2 + -6x2 = -3 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-60 + 18x + 0 = -3 + 6x2 + -6x2
-60 + 18x = -3 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-60 + 18x = -3 + 0
-60 + 18x = -3

Solving
-60 + 18x = -3

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + 18x = -3 + 60

Combine like terms: -60 + 60 = 0
0 + 18x = -3 + 60
18x = -3 + 60

Combine like terms: -3 + 60 = 57
18x = 57

Divide each side by '18'.
x = 3.166666667

Simplifying
x = 3.166666667

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