5(z-7)-(2-6z)=10z

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Solution for 5(z-7)-(2-6z)=10z equation:


Simplifying
5(z + -7) + -1(2 + -6z) = 10z

Reorder the terms:
5(-7 + z) + -1(2 + -6z) = 10z
(-7 * 5 + z * 5) + -1(2 + -6z) = 10z
(-35 + 5z) + -1(2 + -6z) = 10z
-35 + 5z + (2 * -1 + -6z * -1) = 10z
-35 + 5z + (-2 + 6z) = 10z

Reorder the terms:
-35 + -2 + 5z + 6z = 10z

Combine like terms: -35 + -2 = -37
-37 + 5z + 6z = 10z

Combine like terms: 5z + 6z = 11z
-37 + 11z = 10z

Solving
-37 + 11z = 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
-37 + 11z + -10z = 10z + -10z

Combine like terms: 11z + -10z = 1z
-37 + 1z = 10z + -10z

Combine like terms: 10z + -10z = 0
-37 + 1z = 0

Add '37' to each side of the equation.
-37 + 37 + 1z = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 1z = 0 + 37
1z = 0 + 37

Combine like terms: 0 + 37 = 37
1z = 37

Divide each side by '1'.
z = 37

Simplifying
z = 37

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