3[5x-4(x+3)]+21=2(x-17)

Simple and best practice solution for 3[5x-4(x+3)]+21=2(x-17) 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[5x-4(x+3)]+21=2(x-17) equation:


Simplifying
3[5x + -4(x + 3)] + 21 = 2(x + -17)

Reorder the terms:
3[5x + -4(3 + x)] + 21 = 2(x + -17)
3[5x + (3 * -4 + x * -4)] + 21 = 2(x + -17)
3[5x + (-12 + -4x)] + 21 = 2(x + -17)

Reorder the terms:
3[-12 + 5x + -4x] + 21 = 2(x + -17)

Combine like terms: 5x + -4x = 1x
3[-12 + 1x] + 21 = 2(x + -17)
[-12 * 3 + 1x * 3] + 21 = 2(x + -17)
[-36 + 3x] + 21 = 2(x + -17)

Reorder the terms:
-36 + 21 + 3x = 2(x + -17)

Combine like terms: -36 + 21 = -15
-15 + 3x = 2(x + -17)

Reorder the terms:
-15 + 3x = 2(-17 + x)
-15 + 3x = (-17 * 2 + x * 2)
-15 + 3x = (-34 + 2x)

Solving
-15 + 3x = -34 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 3x + -2x = -34 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 1x = -34 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 1x = -34 + 0
-15 + 1x = -34

Add '15' to each side of the equation.
-15 + 15 + 1x = -34 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -34 + 15
1x = -34 + 15

Combine like terms: -34 + 15 = -19
1x = -19

Divide each side by '1'.
x = -19

Simplifying
x = -19

See similar equations:

| 3x-15=6x+1 | | 19x^2-18=0 | | -4-3y=-7 | | 90m+12n-5m+3n+95= | | 100/150=x/230 | | (2x-8)(5x+2x)=0 | | 2*(-2)-3(-1)=-7 | | 2*(-2)-3(-1)= | | 135=9x | | 18a^3+24a^2+8a=0 | | (3w-5)/5=(2w+4)/7 | | 2(343x)+5=91 | | 3x-3=11+99 | | 17+8=3w-5-2w | | ln(x-2)=1.5 | | ln(x-3)=1.5 | | 49b^2-112b+64=0 | | 11b+12b+a-2c= | | 6x-72=0 | | 6a-8-4a-2= | | 9n-9=5n+27 | | 7n-2=4n+12 | | 4+a=-11 | | 3w^3-21w^2=54w | | -4y+2+9-4y-4(-3y+5)= | | -m-6=1-2m | | -2x^5+12x^4=0 | | 3(-2x-1)-2x+6= | | 123*256=x | | 4x=7+9 | | 2/(p-3)+5/(5p+6) | | 123*256=31488 |

Equations solver categories