7(5z-3)=4(10z-9)

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Solution for 7(5z-3)=4(10z-9) equation:


Simplifying
7(5z + -3) = 4(10z + -9)

Reorder the terms:
7(-3 + 5z) = 4(10z + -9)
(-3 * 7 + 5z * 7) = 4(10z + -9)
(-21 + 35z) = 4(10z + -9)

Reorder the terms:
-21 + 35z = 4(-9 + 10z)
-21 + 35z = (-9 * 4 + 10z * 4)
-21 + 35z = (-36 + 40z)

Solving
-21 + 35z = -36 + 40z

Solving for variable 'z'.

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

Add '-40z' to each side of the equation.
-21 + 35z + -40z = -36 + 40z + -40z

Combine like terms: 35z + -40z = -5z
-21 + -5z = -36 + 40z + -40z

Combine like terms: 40z + -40z = 0
-21 + -5z = -36 + 0
-21 + -5z = -36

Add '21' to each side of the equation.
-21 + 21 + -5z = -36 + 21

Combine like terms: -21 + 21 = 0
0 + -5z = -36 + 21
-5z = -36 + 21

Combine like terms: -36 + 21 = -15
-5z = -15

Divide each side by '-5'.
z = 3

Simplifying
z = 3

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