5x+5(x-3)=3+8(x-1)

Simple and best practice solution for 5x+5(x-3)=3+8(x-1) 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 5x+5(x-3)=3+8(x-1) equation:


Simplifying
5x + 5(x + -3) = 3 + 8(x + -1)

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

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

Combine like terms: 5x + 5x = 10x
-15 + 10x = 3 + 8(x + -1)

Reorder the terms:
-15 + 10x = 3 + 8(-1 + x)
-15 + 10x = 3 + (-1 * 8 + x * 8)
-15 + 10x = 3 + (-8 + 8x)

Combine like terms: 3 + -8 = -5
-15 + 10x = -5 + 8x

Solving
-15 + 10x = -5 + 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.
-15 + 10x + -8x = -5 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-15 + 2x = -5 + 8x + -8x

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

Add '15' to each side of the equation.
-15 + 15 + 2x = -5 + 15

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

Combine like terms: -5 + 15 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

See similar equations:

| -9=-(3/2)x-3 | | 2x+6=16-7x | | 2+2k+2=k-3 | | 2x-3y-7=0 | | 5m^2+47m+18=0 | | 4w+20=0 | | 0=-3w+7 | | 1x+1(y+4)=0 | | (4x-3)(3x+9)=0 | | 9w-5=0 | | 2x^2+y^3=1 | | 5n^2+75n+270=0 | | 0=-5y-38 | | 12x^2+147=0 | | -(2/3)z+7=(2/3)z+15 | | -.22x=2 | | 7m-21=9m+7 | | -4u=36 | | -1.2y=6 | | 9x+5=10x-4 | | w+2.07=2.03 | | -10+16=-7y+5y | | (2x+-3)(4+-3x)=0 | | m^2+11m=24 | | -3x+1(3x-6)=-6 | | 49x^2+y^2-49=0 | | (2y+7)+(6y)=(8y+13) | | 1.3=-1.8x | | 4b-5+(-a-3)i=7-81 | | (-1/3)+(5/3)=(-1/3u)-(4/3u) | | 9x-2=6x-4 | | 15-6x+7=3-4x |

Equations solver categories