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

Simple and best practice solution for 3(x-1)-2(x-4)=5(x-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 3(x-1)-2(x-4)=5(x-3) equation:


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

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

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

Reorder the terms:
-3 + 8 + 3x + -2x = 5(x + -3)

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

Combine like terms: 3x + -2x = 1x
5 + 1x = 5(x + -3)

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

Solving
5 + 1x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + 1x + -5x = -15 + 5x + -5x

Combine like terms: 1x + -5x = -4x
5 + -4x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -4x = -15 + 0
5 + -4x = -15

Add '-5' to each side of the equation.
5 + -5 + -4x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -15 + -5
-4x = -15 + -5

Combine like terms: -15 + -5 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

See similar equations:

| 4x-5=10x+12 | | 225*5= | | 2.41=-3.25+k | | 4h-5-6h+11= | | 3x-18=12x | | -9x+15y=-45 | | X^2+10x-105=0 | | 12-4k+5+19k= | | 6+.3(x-7)=.5(2-x) | | 5.28+k=2.38 | | 3x+7y-21=10xy+-21 | | 5h-7=10+5h | | x+14=-2-x | | 5f+7y+3f=30 | | 9+3x=-6x | | 10a=11 | | 3+6x=-2x+11 | | 16x^2-23x+30=0 | | 3z=11 | | P^4+9p^3-36p^2=0 | | -9+16(17n+4)= | | -6x+2=-7x+8 | | 8x-2(x-3)=6x-6 | | -3x*5=7 | | 4(g-5)=5 | | 3a^3-16a^2+16a=0 | | 5y-25=25 | | (a-3)/28=3 | | 8m+19(-7-13m)= | | 13y=10x | | -99=2x+7x+9 | | 10d-3d+d=12 |

Equations solver categories