2(z-7)+3(5-2z)=21

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Solution for 2(z-7)+3(5-2z)=21 equation:


Simplifying
2(z + -7) + 3(5 + -2z) = 21

Reorder the terms:
2(-7 + z) + 3(5 + -2z) = 21
(-7 * 2 + z * 2) + 3(5 + -2z) = 21
(-14 + 2z) + 3(5 + -2z) = 21
-14 + 2z + (5 * 3 + -2z * 3) = 21
-14 + 2z + (15 + -6z) = 21

Reorder the terms:
-14 + 15 + 2z + -6z = 21

Combine like terms: -14 + 15 = 1
1 + 2z + -6z = 21

Combine like terms: 2z + -6z = -4z
1 + -4z = 21

Solving
1 + -4z = 21

Solving for variable 'z'.

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

Add '-1' to each side of the equation.
1 + -1 + -4z = 21 + -1

Combine like terms: 1 + -1 = 0
0 + -4z = 21 + -1
-4z = 21 + -1

Combine like terms: 21 + -1 = 20
-4z = 20

Divide each side by '-4'.
z = -5

Simplifying
z = -5

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