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

Simple and best practice solution for (3x-1)(2x+5)-3((2x-1)(x+2))=24 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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

See similar equations:

| 20=1-5p | | 3x^2-30=0 | | x^2+0.66666667X+0.111111=0 | | 12x^2+30x-10x-25+4x-12x^2-5+15x=48 | | 16x+3=-16 | | 4-10n=34 | | 4x-16=3x+3 | | 7x-2+4=3(x-2) | | -x/12-6=4 | | 2(6-5d)=-8 | | z^2-8z-2=0 | | 2(x+3)-4=2x-2 | | 4(x+3)=6x+5-2x+7 | | m^2-11m=0 | | r(r+17)=-60 | | x^2+4x+4=4 | | 3x+12=234 | | 5r-6=6t-3 | | 2a=5 | | 3x-21= | | x^2=x+30 | | 2x+8-y-(-3)=3y+45-x | | s(s-4)=32 | | 6x^2+15x-9=0 | | 5=(x+0.12x+0.08x) | | 3t^2-14t+8=0 | | -6x+1=25+2x | | m^2-16m=36 | | 18t^2+9t+1=0 | | 7x-3=6x+69 | | x^3+4x^2+2x+8=0 | | -48=x^2+14x |

Equations solver categories