3(z-4)+3=14-(z+3)

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Solution for 3(z-4)+3=14-(z+3) equation:


Simplifying
3(z + -4) + 3 = 14 + -1(z + 3)

Reorder the terms:
3(-4 + z) + 3 = 14 + -1(z + 3)
(-4 * 3 + z * 3) + 3 = 14 + -1(z + 3)
(-12 + 3z) + 3 = 14 + -1(z + 3)

Reorder the terms:
-12 + 3 + 3z = 14 + -1(z + 3)

Combine like terms: -12 + 3 = -9
-9 + 3z = 14 + -1(z + 3)

Reorder the terms:
-9 + 3z = 14 + -1(3 + z)
-9 + 3z = 14 + (3 * -1 + z * -1)
-9 + 3z = 14 + (-3 + -1z)

Combine like terms: 14 + -3 = 11
-9 + 3z = 11 + -1z

Solving
-9 + 3z = 11 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-9 + 3z + z = 11 + -1z + z

Combine like terms: 3z + z = 4z
-9 + 4z = 11 + -1z + z

Combine like terms: -1z + z = 0
-9 + 4z = 11 + 0
-9 + 4z = 11

Add '9' to each side of the equation.
-9 + 9 + 4z = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 4z = 11 + 9
4z = 11 + 9

Combine like terms: 11 + 9 = 20
4z = 20

Divide each side by '4'.
z = 5

Simplifying
z = 5

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