(3x-1)(2x+5)-3(2x-1)(x+2)=24

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Solution for (3x-1)(2x+5)-3(2x-1)(x+2)=24 equation: 


Simplifying
(3x + -1)(2x + 5) + -3(2x + -1)(x + 2) = 24

Reorder the terms:
(-1 + 3x)(2x + 5) + -3(2x + -1)(x + 2) = 24

Reorder the terms:
(-1 + 3x)(5 + 2x) + -3(2x + -1)(x + 2) = 24

Multiply (-1 + 3x) * (5 + 2x)
(-1(5 + 2x) + 3x * (5 + 2x)) + -3(2x + -1)(x + 2) = 24
((5 * -1 + 2x * -1) + 3x * (5 + 2x)) + -3(2x + -1)(x + 2) = 24
((-5 + -2x) + 3x * (5 + 2x)) + -3(2x + -1)(x + 2) = 24
(-5 + -2x + (5 * 3x + 2x * 3x)) + -3(2x + -1)(x + 2) = 24
(-5 + -2x + (15x + 6x2)) + -3(2x + -1)(x + 2) = 24

Combine like terms: -2x + 15x = 13x
(-5 + 13x + 6x2) + -3(2x + -1)(x + 2) = 24

Reorder the terms:
-5 + 13x + 6x2 + -3(-1 + 2x)(x + 2) = 24

Reorder the terms:
-5 + 13x + 6x2 + -3(-1 + 2x)(2 + x) = 24

Multiply (-1 + 2x) * (2 + x)
-5 + 13x + 6x2 + -3(-1(2 + x) + 2x * (2 + x)) = 24
-5 + 13x + 6x2 + -3((2 * -1 + x * -1) + 2x * (2 + x)) = 24
-5 + 13x + 6x2 + -3((-2 + -1x) + 2x * (2 + x)) = 24
-5 + 13x + 6x2 + -3(-2 + -1x + (2 * 2x + x * 2x)) = 24
-5 + 13x + 6x2 + -3(-2 + -1x + (4x + 2x2)) = 24

Combine like terms: -1x + 4x = 3x
-5 + 13x + 6x2 + -3(-2 + 3x + 2x2) = 24
-5 + 13x + 6x2 + (-2 * -3 + 3x * -3 + 2x2 * -3) = 24
-5 + 13x + 6x2 + (6 + -9x + -6x2) = 24

Reorder the terms:
-5 + 6 + 13x + -9x + 6x2 + -6x2 = 24

Combine like terms: -5 + 6 = 1
1 + 13x + -9x + 6x2 + -6x2 = 24

Combine like terms: 13x + -9x = 4x
1 + 4x + 6x2 + -6x2 = 24

Combine like terms: 6x2 + -6x2 = 0
1 + 4x + 0 = 24
1 + 4x = 24

Solving
1 + 4x = 24

Solving for variable 'x'.

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 = 24 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 24 + -1
4x = 24 + -1

Combine like terms: 24 + -1 = 23
4x = 23

Divide each side by '4'.
x = 5.75

Simplifying
x = 5.75

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