2(6z-1)-3(z+3)=2(z+1)

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Solution for 2(6z-1)-3(z+3)=2(z+1) equation:


Simplifying
2(6z + -1) + -3(z + 3) = 2(z + 1)

Reorder the terms:
2(-1 + 6z) + -3(z + 3) = 2(z + 1)
(-1 * 2 + 6z * 2) + -3(z + 3) = 2(z + 1)
(-2 + 12z) + -3(z + 3) = 2(z + 1)

Reorder the terms:
-2 + 12z + -3(3 + z) = 2(z + 1)
-2 + 12z + (3 * -3 + z * -3) = 2(z + 1)
-2 + 12z + (-9 + -3z) = 2(z + 1)

Reorder the terms:
-2 + -9 + 12z + -3z = 2(z + 1)

Combine like terms: -2 + -9 = -11
-11 + 12z + -3z = 2(z + 1)

Combine like terms: 12z + -3z = 9z
-11 + 9z = 2(z + 1)

Reorder the terms:
-11 + 9z = 2(1 + z)
-11 + 9z = (1 * 2 + z * 2)
-11 + 9z = (2 + 2z)

Solving
-11 + 9z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-11 + 9z + -2z = 2 + 2z + -2z

Combine like terms: 9z + -2z = 7z
-11 + 7z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-11 + 7z = 2 + 0
-11 + 7z = 2

Add '11' to each side of the equation.
-11 + 11 + 7z = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 7z = 2 + 11
7z = 2 + 11

Combine like terms: 2 + 11 = 13
7z = 13

Divide each side by '7'.
z = 1.857142857

Simplifying
z = 1.857142857

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