3[8-5(3x-2)]+4(4x-9)=2[3(2x-5)+28]-49

Simple and best practice solution for 3[8-5(3x-2)]+4(4x-9)=2[3(2x-5)+28]-49 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 3[8-5(3x-2)]+4(4x-9)=2[3(2x-5)+28]-49 equation:


Simplifying
3[8 + -5(3x + -2)] + 4(4x + -9) = 2[3(2x + -5) + 28] + -49

Reorder the terms:
3[8 + -5(-2 + 3x)] + 4(4x + -9) = 2[3(2x + -5) + 28] + -49
3[8 + (-2 * -5 + 3x * -5)] + 4(4x + -9) = 2[3(2x + -5) + 28] + -49
3[8 + (10 + -15x)] + 4(4x + -9) = 2[3(2x + -5) + 28] + -49

Combine like terms: 8 + 10 = 18
3[18 + -15x] + 4(4x + -9) = 2[3(2x + -5) + 28] + -49
[18 * 3 + -15x * 3] + 4(4x + -9) = 2[3(2x + -5) + 28] + -49
[54 + -45x] + 4(4x + -9) = 2[3(2x + -5) + 28] + -49

Reorder the terms:
54 + -45x + 4(-9 + 4x) = 2[3(2x + -5) + 28] + -49
54 + -45x + (-9 * 4 + 4x * 4) = 2[3(2x + -5) + 28] + -49
54 + -45x + (-36 + 16x) = 2[3(2x + -5) + 28] + -49

Reorder the terms:
54 + -36 + -45x + 16x = 2[3(2x + -5) + 28] + -49

Combine like terms: 54 + -36 = 18
18 + -45x + 16x = 2[3(2x + -5) + 28] + -49

Combine like terms: -45x + 16x = -29x
18 + -29x = 2[3(2x + -5) + 28] + -49

Reorder the terms:
18 + -29x = 2[3(-5 + 2x) + 28] + -49
18 + -29x = 2[(-5 * 3 + 2x * 3) + 28] + -49
18 + -29x = 2[(-15 + 6x) + 28] + -49

Reorder the terms:
18 + -29x = 2[-15 + 28 + 6x] + -49

Combine like terms: -15 + 28 = 13
18 + -29x = 2[13 + 6x] + -49
18 + -29x = [13 * 2 + 6x * 2] + -49
18 + -29x = [26 + 12x] + -49

Reorder the terms:
18 + -29x = 26 + -49 + 12x

Combine like terms: 26 + -49 = -23
18 + -29x = -23 + 12x

Solving
18 + -29x = -23 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
18 + -29x + -12x = -23 + 12x + -12x

Combine like terms: -29x + -12x = -41x
18 + -41x = -23 + 12x + -12x

Combine like terms: 12x + -12x = 0
18 + -41x = -23 + 0
18 + -41x = -23

Add '-18' to each side of the equation.
18 + -18 + -41x = -23 + -18

Combine like terms: 18 + -18 = 0
0 + -41x = -23 + -18
-41x = -23 + -18

Combine like terms: -23 + -18 = -41
-41x = -41

Divide each side by '-41'.
x = 1

Simplifying
x = 1

See similar equations:

| 13-5c=1-c | | 7x+8=7(x-5) | | 2x^2+4x=15 | | 7(3x-5)=21x-35 | | 2=-8+5y | | 2v+2=14 | | 11=3x+8 | | rln(ln(1))=2.6 | | 6=-4+2v | | ln(x^2+1)=2.6 | | 7-2c=c-11 | | 2+3u=23 | | 6=2v-4 | | 4u-5=-29 | | 5x^2+30x=80 | | 7c+8=4c-7 | | 76=4u+12 | | 3c-4=2c-9 | | 9(x-7)=-3(x+5) | | 2*2x-1=15 | | 2x+lnx=0 | | 3x(8+9-2)= | | 100-b/3=60 | | 5m+12=18m | | 2x^5-5x^2+1=0 | | y=2x^5-5x^2+1 | | 0=3x+4y+2 | | y^2+8y-33=0 | | f(x)=-8x^2+7x+8 | | 2x-4(x-3)=-4+5x-26 | | 4t+9c+36=0 | | 7x+1-6x-3=5 |

Equations solver categories