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

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Solution for 2(5z-1)-4(z+2)=3z+1 equation: 


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

Reorder the terms:
2(-1 + 5z) + -4(z + 2) = 3z + 1
(-1 * 2 + 5z * 2) + -4(z + 2) = 3z + 1
(-2 + 10z) + -4(z + 2) = 3z + 1

Reorder the terms:
-2 + 10z + -4(2 + z) = 3z + 1
-2 + 10z + (2 * -4 + z * -4) = 3z + 1
-2 + 10z + (-8 + -4z) = 3z + 1

Reorder the terms:
-2 + -8 + 10z + -4z = 3z + 1

Combine like terms: -2 + -8 = -10
-10 + 10z + -4z = 3z + 1

Combine like terms: 10z + -4z = 6z
-10 + 6z = 3z + 1

Reorder the terms:
-10 + 6z = 1 + 3z

Solving
-10 + 6z = 1 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-10 + 6z + -3z = 1 + 3z + -3z

Combine like terms: 6z + -3z = 3z
-10 + 3z = 1 + 3z + -3z

Combine like terms: 3z + -3z = 0
-10 + 3z = 1 + 0
-10 + 3z = 1

Add '10' to each side of the equation.
-10 + 10 + 3z = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 3z = 1 + 10
3z = 1 + 10

Combine like terms: 1 + 10 = 11
3z = 11

Divide each side by '3'.
z = 3.666666667

Simplifying
z = 3.666666667

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