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

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


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

Reorder the terms:
2(5 + 3x) = 5(2x + -4)
(5 * 2 + 3x * 2) = 5(2x + -4)
(10 + 6x) = 5(2x + -4)

Reorder the terms:
10 + 6x = 5(-4 + 2x)
10 + 6x = (-4 * 5 + 2x * 5)
10 + 6x = (-20 + 10x)

Solving
10 + 6x = -20 + 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.
10 + 6x + -10x = -20 + 10x + -10x

Combine like terms: 6x + -10x = -4x
10 + -4x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
10 + -4x = -20 + 0
10 + -4x = -20

Add '-10' to each side of the equation.
10 + -10 + -4x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -20 + -10
-4x = -20 + -10

Combine like terms: -20 + -10 = -30
-4x = -30

Divide each side by '-4'.
x = 7.5

Simplifying
x = 7.5

See similar equations:

| 10x-59=49 | | 8+3=-4 | | =(5)(6) | | 9c=5xf-32 | | 6[t+8]=88 | | .05y-95=p | | 29h+7=-14 | | 7x-2y-14=0 | | 3[5x-7]=-36 | | p=.05y-95 | | 4x-3y^2= | | x+1.1=9.6 | | X+(-14)=-32 | | -50-10x=22-7x | | 6x-127=41-x | | 7x^2-9x+1=0 | | 3n+4=-5 | | (7x^3-8x^2+3x+1)-(8x^3+7x^2-2)= | | x+(35+x)+(-36+3*x)=941 | | x^2+2x+1=15 | | 15x=x^2 | | 7-(5x-8)=4x+3 | | -x^2+4x=5 | | 0.2+0.8=1 | | 4x^2-8x=1 | | h/4+5=7 | | 1+1=897n | | -10=2n+2 | | N+-6=2 | | x^2+7=-300 | | -2(6-x)-x=5x-1+x | | N=2-2n |

Equations solver categories