-4(z+3)+7=6z+15

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Solution for -4(z+3)+7=6z+15 equation:


Simplifying
-4(z + 3) + 7 = 6z + 15

Reorder the terms:
-4(3 + z) + 7 = 6z + 15
(3 * -4 + z * -4) + 7 = 6z + 15
(-12 + -4z) + 7 = 6z + 15

Reorder the terms:
-12 + 7 + -4z = 6z + 15

Combine like terms: -12 + 7 = -5
-5 + -4z = 6z + 15

Reorder the terms:
-5 + -4z = 15 + 6z

Solving
-5 + -4z = 15 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-5 + -4z + -6z = 15 + 6z + -6z

Combine like terms: -4z + -6z = -10z
-5 + -10z = 15 + 6z + -6z

Combine like terms: 6z + -6z = 0
-5 + -10z = 15 + 0
-5 + -10z = 15

Add '5' to each side of the equation.
-5 + 5 + -10z = 15 + 5

Combine like terms: -5 + 5 = 0
0 + -10z = 15 + 5
-10z = 15 + 5

Combine like terms: 15 + 5 = 20
-10z = 20

Divide each side by '-10'.
z = -2

Simplifying
z = -2

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