3(z-7)+5(2-z)=-23

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Solution for 3(z-7)+5(2-z)=-23 equation:


Simplifying
3(z + -7) + 5(2 + -1z) = -23

Reorder the terms:
3(-7 + z) + 5(2 + -1z) = -23
(-7 * 3 + z * 3) + 5(2 + -1z) = -23
(-21 + 3z) + 5(2 + -1z) = -23
-21 + 3z + (2 * 5 + -1z * 5) = -23
-21 + 3z + (10 + -5z) = -23

Reorder the terms:
-21 + 10 + 3z + -5z = -23

Combine like terms: -21 + 10 = -11
-11 + 3z + -5z = -23

Combine like terms: 3z + -5z = -2z
-11 + -2z = -23

Solving
-11 + -2z = -23

Solving for variable 'z'.

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

Add '11' to each side of the equation.
-11 + 11 + -2z = -23 + 11

Combine like terms: -11 + 11 = 0
0 + -2z = -23 + 11
-2z = -23 + 11

Combine like terms: -23 + 11 = -12
-2z = -12

Divide each side by '-2'.
z = 6

Simplifying
z = 6

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