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

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


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

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

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

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

Combine like terms: -4 + 6 = 2
2 + 4x + 3x = 5(x + -4)

Combine like terms: 4x + 3x = 7x
2 + 7x = 5(x + -4)

Reorder the terms:
2 + 7x = 5(-4 + x)
2 + 7x = (-4 * 5 + x * 5)
2 + 7x = (-20 + 5x)

Solving
2 + 7x = -20 + 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.
2 + 7x + -5x = -20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
2 + 2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 2x = -20 + 0
2 + 2x = -20

Add '-2' to each side of the equation.
2 + -2 + 2x = -20 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = -20 + -2
2x = -20 + -2

Combine like terms: -20 + -2 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

See similar equations:

| -2(6x-1)+5=-12x+7 | | 9x-28+x+12=180 | | 3(x-3)-4=2 | | x*2=4x | | 7x+2-4x+3=7x+4-x+2 | | y/17=44 | | 435x^2-0x-1007=0 | | 7(x+7)-9=40 | | x/16=24 | | x+3y=-86 | | 13-4=7 | | -11+27=-2(x+1) | | -3w+2w+4=-8 | | 7+7=-2(2x-7) | | x+0.06(64)=0.20(x+16) | | 5(2x+7)=-38+33 | | 3x+10=6-(2-3x) | | 8-(4x-7)=8-5x | | (5/9)x-x=19,2 | | 24/45=y/9 | | -9(y+1)=-10y | | 5x=(3x+60) | | 5x=(x+60) | | X^3+xy^2= | | X+3+y=13 | | X/8-5=0 | | -5+82= | | 19.5x+20y=360 | | x^3+-6x+-1=0 | | 7x-6-3x=x+2+x | | 1/(x-8)-1=7/(x-8) | | 3x-1*2-2x-1*3=6 |

Equations solver categories