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

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


Simplifying
3(x + 5) = 2(4 + -1x)

Reorder the terms:
3(5 + x) = 2(4 + -1x)
(5 * 3 + x * 3) = 2(4 + -1x)
(15 + 3x) = 2(4 + -1x)
15 + 3x = (4 * 2 + -1x * 2)
15 + 3x = (8 + -2x)

Solving
15 + 3x = 8 + -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 = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
15 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + 5x = 8 + 0
15 + 5x = 8

Add '-15' to each side of the equation.
15 + -15 + 5x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 8 + -15
5x = 8 + -15

Combine like terms: 8 + -15 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

See similar equations:

| 6(y+4)-(y+3)=y-1 | | 3x+40=13x-40 | | x^2-11x+13=-3x+1 | | 9x-17=6x+4 | | 5x-2=58 | | 2a+8=5a-6 | | -15(0)+12y=0 | | 4x+y=2 | | 4x^2-23x+47=5x+2 | | 5(9-w)=4(w+18) | | -15x+12(0)=0 | | 6x^2+17x-3=0 | | 6x+10=-65-9x | | 105-4x=3x+7 | | 4x+4=12+2x+6 | | 4(0)+5y=5 | | x^2+3x-35=0 | | 6+24v-(-11-v)=42 | | 0.15+w+14=14.60 | | 2(x-4)=3(a+4) | | 6x+33=6x+33 | | 4x+5(0)=5 | | 4(x+4)=20 | | 3x+12=84-6x | | 9+5x=21+x | | 2x+65=8x+11 | | -5x-10+2X=8 | | 3x-20+2=3 | | 14+0.15w=14.60 | | 16=2(S+9)-4 | | 6x-1=15x-82 | | 2(x+3)-5(x-1)=32 |

Equations solver categories