3(5x+15)-2(3-4x)=2+3(2x+5)

Simple and best practice solution for 3(5x+15)-2(3-4x)=2+3(2x+5) 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+15)-2(3-4x)=2+3(2x+5) equation:


Simplifying
3(5x + 15) + -2(3 + -4x) = 2 + 3(2x + 5)

Reorder the terms:
3(15 + 5x) + -2(3 + -4x) = 2 + 3(2x + 5)
(15 * 3 + 5x * 3) + -2(3 + -4x) = 2 + 3(2x + 5)
(45 + 15x) + -2(3 + -4x) = 2 + 3(2x + 5)
45 + 15x + (3 * -2 + -4x * -2) = 2 + 3(2x + 5)
45 + 15x + (-6 + 8x) = 2 + 3(2x + 5)

Reorder the terms:
45 + -6 + 15x + 8x = 2 + 3(2x + 5)

Combine like terms: 45 + -6 = 39
39 + 15x + 8x = 2 + 3(2x + 5)

Combine like terms: 15x + 8x = 23x
39 + 23x = 2 + 3(2x + 5)

Reorder the terms:
39 + 23x = 2 + 3(5 + 2x)
39 + 23x = 2 + (5 * 3 + 2x * 3)
39 + 23x = 2 + (15 + 6x)

Combine like terms: 2 + 15 = 17
39 + 23x = 17 + 6x

Solving
39 + 23x = 17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
39 + 23x + -6x = 17 + 6x + -6x

Combine like terms: 23x + -6x = 17x
39 + 17x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
39 + 17x = 17 + 0
39 + 17x = 17

Add '-39' to each side of the equation.
39 + -39 + 17x = 17 + -39

Combine like terms: 39 + -39 = 0
0 + 17x = 17 + -39
17x = 17 + -39

Combine like terms: 17 + -39 = -22
17x = -22

Divide each side by '17'.
x = -1.294117647

Simplifying
x = -1.294117647

See similar equations:

| (2x-3)+(4x-21)=0 | | 15=6w-w | | 9(t-4)+6t=5(3t+2)-9 | | 15+12/3x5 | | 4+2z-1=6z+11-3z | | 4x+16=4x-16 | | X-3/10=2x+5/5 | | 2x-4+10=-x+5x+2 | | -14x-7=25 | | 14r+20=14r+16 | | 3/5w=6 | | 13/49=26/7x | | 2.9q-3.6-5.3q=3.4q-3.5 | | x+1.8=7.75 | | -18p2/3p | | 5.2=10x+2.5 | | (3+4x)-(5-2x)=0 | | 9x-27y-9= | | -7y+7=-8+9 | | -4x+x=12+4x | | -5=x-12 | | -0.07x=2.1 | | 4y-26=-y-6 | | y-4.6=4 | | 7y-4y=18 | | 2/x=1.33 | | 2x+1+3.2x=5.2x | | s(t)=-16f^2+128t+140 | | (3y+19)(9y+25)=0 | | 5.3x+1-7.3x=7 | | x^3-2x^2+2x+17=0 | | 5x-35.2=x |

Equations solver categories