0.5(z+5)=1.4(z-1)+0.15(10z+2)

Simple and best practice solution for 0.5(z+5)=1.4(z-1)+0.15(10z+2) 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 0.5(z+5)=1.4(z-1)+0.15(10z+2) equation: 


Simplifying
0.5(z + 5) = 1.4(z + -1) + 0.15(10z + 2)

Reorder the terms:
0.5(5 + z) = 1.4(z + -1) + 0.15(10z + 2)
(5 * 0.5 + z * 0.5) = 1.4(z + -1) + 0.15(10z + 2)
(2.5 + 0.5z) = 1.4(z + -1) + 0.15(10z + 2)

Reorder the terms:
2.5 + 0.5z = 1.4(-1 + z) + 0.15(10z + 2)
2.5 + 0.5z = (-1 * 1.4 + z * 1.4) + 0.15(10z + 2)
2.5 + 0.5z = (-1.4 + 1.4z) + 0.15(10z + 2)

Reorder the terms:
2.5 + 0.5z = -1.4 + 1.4z + 0.15(2 + 10z)
2.5 + 0.5z = -1.4 + 1.4z + (2 * 0.15 + 10z * 0.15)
2.5 + 0.5z = -1.4 + 1.4z + (0.3 + 1.5z)

Reorder the terms:
2.5 + 0.5z = -1.4 + 0.3 + 1.4z + 1.5z

Combine like terms: -1.4 + 0.3 = -1.1
2.5 + 0.5z = -1.1 + 1.4z + 1.5z

Combine like terms: 1.4z + 1.5z = 2.9z
2.5 + 0.5z = -1.1 + 2.9z

Solving
2.5 + 0.5z = -1.1 + 2.9z

Solving for variable 'z'.

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

Add '-2.9z' to each side of the equation.
2.5 + 0.5z + -2.9z = -1.1 + 2.9z + -2.9z

Combine like terms: 0.5z + -2.9z = -2.4z
2.5 + -2.4z = -1.1 + 2.9z + -2.9z

Combine like terms: 2.9z + -2.9z = 0.0
2.5 + -2.4z = -1.1 + 0.0
2.5 + -2.4z = -1.1

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -2.4z = -1.1 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.4z = -1.1 + -2.5
-2.4z = -1.1 + -2.5

Combine like terms: -1.1 + -2.5 = -3.6
-2.4z = -3.6

Divide each side by '-2.4'.
z = 1.5

Simplifying
z = 1.5

See similar equations:

| 14-5x=14x*3 | | 1062-y=-368313 | | 3x-2+5x=10x+4+x | | 20x+144=14x+168 | | 20/5(2*2)=1 | | 20/5(2*2)=16 | | x+79+x-7+x=180 | | -29-2c=-5(6c+8) | | 2/5n=12 | | -5x+1=2x+7 | | 2.4y-7.1=2.05 | | 20x=3x+1 | | -24+x=x+26 | | 10.89/x=.99 | | 24=4/7u | | 10.89*x=.99 | | x^3-13481=343 | | 2x+15forx=-2 | | c^2-24=14 | | 5/x-10=12 | | x^2-5x+40=34 | | 20=5(3q-32) | | -8k^2=32k | | -4=x^2-5x+3 | | 4+3a=-5 | | 30z+42=14z-34 | | 0.8w-12=.67 | | c^2-12=27 | | x-20(0.2)-1=0 | | g(x)=x^2+5x-24 | | 50x+112-60x=242-40x+140 | | (7/2)=3x-2 |

Equations solver categories