2(x-9)=5(z+1)-8

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Solution for 2(x-9)=5(z+1)-8 equation:


Simplifying
2(x + -9) = 5(z + 1) + -8

Reorder the terms:
2(-9 + x) = 5(z + 1) + -8
(-9 * 2 + x * 2) = 5(z + 1) + -8
(-18 + 2x) = 5(z + 1) + -8

Reorder the terms:
-18 + 2x = 5(1 + z) + -8
-18 + 2x = (1 * 5 + z * 5) + -8
-18 + 2x = (5 + 5z) + -8

Reorder the terms:
-18 + 2x = 5 + -8 + 5z

Combine like terms: 5 + -8 = -3
-18 + 2x = -3 + 5z

Solving
-18 + 2x = -3 + 5z

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 2x = -3 + 18 + 5z

Combine like terms: -18 + 18 = 0
0 + 2x = -3 + 18 + 5z
2x = -3 + 18 + 5z

Combine like terms: -3 + 18 = 15
2x = 15 + 5z

Divide each side by '2'.
x = 7.5 + 2.5z

Simplifying
x = 7.5 + 2.5z

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