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

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


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

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

Reorder the terms:
-5 + 10z + -3(3 + z) = 3(2 + 1)
-5 + 10z + (3 * -3 + z * -3) = 3(2 + 1)
-5 + 10z + (-9 + -3z) = 3(2 + 1)

Reorder the terms:
-5 + -9 + 10z + -3z = 3(2 + 1)

Combine like terms: -5 + -9 = -14
-14 + 10z + -3z = 3(2 + 1)

Combine like terms: 10z + -3z = 7z
-14 + 7z = 3(2 + 1)

Combine like terms: 2 + 1 = 3
-14 + 7z = 3(3)

Multiply 3 * 3
-14 + 7z = 9

Solving
-14 + 7z = 9

Solving for variable 'z'.

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

Add '14' to each side of the equation.
-14 + 14 + 7z = 9 + 14

Combine like terms: -14 + 14 = 0
0 + 7z = 9 + 14
7z = 9 + 14

Combine like terms: 9 + 14 = 23
7z = 23

Divide each side by '7'.
z = 3.285714286

Simplifying
z = 3.285714286

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