5(3x+5)=8(x+4)+13

Simple and best practice solution for 5(3x+5)=8(x+4)+13 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 5(3x+5)=8(x+4)+13 equation:


Simplifying
5(3x + 5) = 8(x + 4) + 13

Reorder the terms:
5(5 + 3x) = 8(x + 4) + 13
(5 * 5 + 3x * 5) = 8(x + 4) + 13
(25 + 15x) = 8(x + 4) + 13

Reorder the terms:
25 + 15x = 8(4 + x) + 13
25 + 15x = (4 * 8 + x * 8) + 13
25 + 15x = (32 + 8x) + 13

Reorder the terms:
25 + 15x = 32 + 13 + 8x

Combine like terms: 32 + 13 = 45
25 + 15x = 45 + 8x

Solving
25 + 15x = 45 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
25 + 15x + -8x = 45 + 8x + -8x

Combine like terms: 15x + -8x = 7x
25 + 7x = 45 + 8x + -8x

Combine like terms: 8x + -8x = 0
25 + 7x = 45 + 0
25 + 7x = 45

Add '-25' to each side of the equation.
25 + -25 + 7x = 45 + -25

Combine like terms: 25 + -25 = 0
0 + 7x = 45 + -25
7x = 45 + -25

Combine like terms: 45 + -25 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

See similar equations:

| 5n=53.26-2.6m | | y/3+8=-2 | | -2[x]=-18 | | 1/4x=-5 | | -v+16=7v | | -3v+7=-5v+15 | | 5.3y=13.25 | | -5(2v-5)=-10v+14 | | 2(2x+6)=4x-7 | | 2v+18=61-4(v+7) | | 112x-4x=4x+8 | | 5n-11=15-3n | | 11=7+7/3t | | -6x-25=3(2x-5) | | x^2-11x+18x=0 | | 2m=4m | | [u]-14=-8 | | -6w-12=-8w-12 | | 1/3s=-4 | | 3m+3w=p(m) | | -10v+10=5(-2v+2) | | 5[y]=-45 | | 1/2s=-5 | | f(x)=x^2+6x+20 | | x-6(-2)=8 | | 5d=3/4 | | 5x^2-7=-4 | | 2[y]=0 | | 2(1N+3N)= | | f(x)=x^2+20 | | -8+11=12s | | 2N(1N+3N)= |

Equations solver categories