4z+3(5-z)=-(z-4)+1

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


Simplifying
4z + 3(5 + -1z) = -1(z + -4) + 1
4z + (5 * 3 + -1z * 3) = -1(z + -4) + 1
4z + (15 + -3z) = -1(z + -4) + 1

Reorder the terms:
15 + 4z + -3z = -1(z + -4) + 1

Combine like terms: 4z + -3z = 1z
15 + 1z = -1(z + -4) + 1

Reorder the terms:
15 + 1z = -1(-4 + z) + 1
15 + 1z = (-4 * -1 + z * -1) + 1
15 + 1z = (4 + -1z) + 1

Reorder the terms:
15 + 1z = 4 + 1 + -1z

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

Solving
15 + 1z = 5 + -1z

Solving for variable 'z'.

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

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

Combine like terms: 1z + z = 2z
15 + 2z = 5 + -1z + z

Combine like terms: -1z + z = 0
15 + 2z = 5 + 0
15 + 2z = 5

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

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

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

Divide each side by '2'.
z = -5

Simplifying
z = -5

See similar equations:

| 6(x+5)=4(3x-15) | | 8n+-103=15n+75 | | 0.154= | | 20w=19w+8 | | 3z+2y-x=16 | | Z-2=3z-38 | | 10-6x+x=50 | | 10(0)=18-6x | | 5+7a+8=16+6a | | 2.1+t=2.25 | | -20-10m=-14m+20 | | 5(-4)-9=19 | | 3x-6y-8y+10x+2= | | 6(2x+3)=-12x-18 | | 8x+7x=20-5x | | a/85=60/100 | | 2y+14=y+32 | | (5x+16)+92+100+102=180 | | -16x^2-27x+180=0 | | x^5+5x^4=x+5 | | y+3=x-4 | | 1/3(12y-24)=16 | | 16+18k=20k | | (2x+3)+90+90+119=180 | | 5x-8=11x+10 | | -9t+20=-7t-20 | | 3q=q+28 | | ln(x/0,11)=-0,0283 | | 5n-2n=-12+6n | | 1000!/500!^2 | | 8p+42=14p | | 3x-2(8x-1)=16 |

Equations solver categories