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

Simple and best practice solution for 2(3x+1)=-5(2x-3) 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 2(3x+1)=-5(2x-3) equation:


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

Reorder the terms:
2(1 + 3x) = -5(2x + -3)
(1 * 2 + 3x * 2) = -5(2x + -3)
(2 + 6x) = -5(2x + -3)

Reorder the terms:
2 + 6x = -5(-3 + 2x)
2 + 6x = (-3 * -5 + 2x * -5)
2 + 6x = (15 + -10x)

Solving
2 + 6x = 15 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
2 + 6x + 10x = 15 + -10x + 10x

Combine like terms: 6x + 10x = 16x
2 + 16x = 15 + -10x + 10x

Combine like terms: -10x + 10x = 0
2 + 16x = 15 + 0
2 + 16x = 15

Add '-2' to each side of the equation.
2 + -2 + 16x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 16x = 15 + -2
16x = 15 + -2

Combine like terms: 15 + -2 = 13
16x = 13

Divide each side by '16'.
x = 0.8125

Simplifying
x = 0.8125

See similar equations:

| -4x-8=-4x+24 | | -116-6v=-17v+5 | | 3x-18=7x+25 | | -116-6v=-17+5 | | 8r-5q=k | | x^2+4y^2=3x+2y | | Y=-2x^2AndY | | 7r+5=37-r | | e+(e+12)=94 | | 12y^2-25y+12=0 | | 6b-3=5(16)+1 | | h+(h-68)=632 | | 9x+2=x+26 | | 5(a-3)=80 | | 2ab+9b= | | 5(x-4)-8(x+20)=32-7(x-12) | | b+3b=1000 | | (19-15-3)= | | 0=-4x^3+4x-3 | | -m=-2x+11 | | (u-4)*7=14 | | 4(x+14)-3(-x+14)=14 | | F(3)=3-6 | | 8x+-24=5x+22 | | -4+6=20 | | 272=3Y+X+32 | | 3y+12-y=10 | | -8(s+3)=-44 | | -5j-1=1+11j-15j | | X^2+11x-48=0 | | 12c-13=19+14c | | 18h-14=19+20h+5 |

Equations solver categories