3(2-4)=5(z-4)

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Solution for 3(2-4)=5(z-4) equation:


Simplifying
3(2 + -4) = 5(z + -4)

Combine like terms: 2 + -4 = -2
3(-2) = 5(z + -4)

Multiply 3 * -2
-6 = 5(z + -4)

Reorder the terms:
-6 = 5(-4 + z)
-6 = (-4 * 5 + z * 5)
-6 = (-20 + 5z)

Solving
-6 = -20 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-6 + -5z = -20 + 5z + -5z

Combine like terms: 5z + -5z = 0
-6 + -5z = -20 + 0
-6 + -5z = -20

Add '6' to each side of the equation.
-6 + 6 + -5z = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -5z = -20 + 6
-5z = -20 + 6

Combine like terms: -20 + 6 = -14
-5z = -14

Divide each side by '-5'.
z = 2.8

Simplifying
z = 2.8

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