42=5.7z+2.6(z-3)

Simple and best practice solution for 42=5.7z+2.6(z-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 42=5.7z+2.6(z-3) equation: 


Simplifying
42 = 5.7z + 2.6(z + -3)

Reorder the terms:
42 = 5.7z + 2.6(-3 + z)
42 = 5.7z + (-3 * 2.6 + z * 2.6)
42 = 5.7z + (-7.8 + 2.6z)

Reorder the terms:
42 = -7.8 + 5.7z + 2.6z

Combine like terms: 5.7z + 2.6z = 8.3z
42 = -7.8 + 8.3z

Solving
42 = -7.8 + 8.3z

Solving for variable 'z'.

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

Add '-8.3z' to each side of the equation.
42 + -8.3z = -7.8 + 8.3z + -8.3z

Combine like terms: 8.3z + -8.3z = 0.0
42 + -8.3z = -7.8 + 0.0
42 + -8.3z = -7.8

Add '-42' to each side of the equation.
42 + -42 + -8.3z = -7.8 + -42

Combine like terms: 42 + -42 = 0
0 + -8.3z = -7.8 + -42
-8.3z = -7.8 + -42

Combine like terms: -7.8 + -42 = -49.8
-8.3z = -49.8

Divide each side by '-8.3'.
z = 6

Simplifying
z = 6

See similar equations:

| a=(12)(10) | | 4x^2+18x=10 | | 42=5.7z+26(z-3) | | a=(8.5)(7.6) | | (2x+1)/3=5 | | a=(26)(11) | | 2x+1/3=5 | | p=2(1)+2(0.5) | | A+1=20 | | p=2(2.9)+2(2.8) | | 6y^5+8y^3=0 | | 6y^2-8y=0 | | 2(10w)+2w=106 | | 7x^2+6x=2 | | 0=16t^2+65t+160 | | 2(10w+2)+2w=106 | | 16-5s=-19 | | 6+90+90+13+11x+12x=360 | | 61.44=12z | | 345678-34567+123456= | | x^4-9x^3+30x^2-33x-13=0 | | 16e+22-6e=1+4e+3 | | -11x=275 | | 4x-4y+16=0 | | 3(x-8)+4=3(2x+3) | | 0.25y=1.5 | | -15x=15 | | 0=9c^2-16 | | 3x+8=x-16 | | -4p+2+p=23 | | (x+40)=(3x-30) | | 0=x(16+-3x) |

Equations solver categories