5(2z-1)-2(x+9)=4(z+1)

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Solution for 5(2z-1)-2(x+9)=4(z+1) equation:


Simplifying
5(2z + -1) + -2(x + 9) = 4(z + 1)

Reorder the terms:
5(-1 + 2z) + -2(x + 9) = 4(z + 1)
(-1 * 5 + 2z * 5) + -2(x + 9) = 4(z + 1)
(-5 + 10z) + -2(x + 9) = 4(z + 1)

Reorder the terms:
-5 + 10z + -2(9 + x) = 4(z + 1)
-5 + 10z + (9 * -2 + x * -2) = 4(z + 1)
-5 + 10z + (-18 + -2x) = 4(z + 1)

Reorder the terms:
-5 + -18 + -2x + 10z = 4(z + 1)

Combine like terms: -5 + -18 = -23
-23 + -2x + 10z = 4(z + 1)

Reorder the terms:
-23 + -2x + 10z = 4(1 + z)
-23 + -2x + 10z = (1 * 4 + z * 4)
-23 + -2x + 10z = (4 + 4z)

Solving
-23 + -2x + 10z = 4 + 4z

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + -2x + 23 + 10z = 4 + 23 + 4z

Reorder the terms:
-23 + 23 + -2x + 10z = 4 + 23 + 4z

Combine like terms: -23 + 23 = 0
0 + -2x + 10z = 4 + 23 + 4z
-2x + 10z = 4 + 23 + 4z

Combine like terms: 4 + 23 = 27
-2x + 10z = 27 + 4z

Add '-10z' to each side of the equation.
-2x + 10z + -10z = 27 + 4z + -10z

Combine like terms: 10z + -10z = 0
-2x + 0 = 27 + 4z + -10z
-2x = 27 + 4z + -10z

Combine like terms: 4z + -10z = -6z
-2x = 27 + -6z

Divide each side by '-2'.
x = -13.5 + 3z

Simplifying
x = -13.5 + 3z

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