2x+3z-5=56x-8z+24

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Solution for 2x+3z-5=56x-8z+24 equation:


Simplifying
2x + 3z + -5 = 56x + -8z + 24

Reorder the terms:
-5 + 2x + 3z = 56x + -8z + 24

Reorder the terms:
-5 + 2x + 3z = 24 + 56x + -8z

Solving
-5 + 2x + 3z = 24 + 56x + -8z

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
-5 + 2x + -56x + 3z = 24 + 56x + -56x + -8z

Combine like terms: 2x + -56x = -54x
-5 + -54x + 3z = 24 + 56x + -56x + -8z

Combine like terms: 56x + -56x = 0
-5 + -54x + 3z = 24 + 0 + -8z
-5 + -54x + 3z = 24 + -8z

Add '5' to each side of the equation.
-5 + -54x + 5 + 3z = 24 + 5 + -8z

Reorder the terms:
-5 + 5 + -54x + 3z = 24 + 5 + -8z

Combine like terms: -5 + 5 = 0
0 + -54x + 3z = 24 + 5 + -8z
-54x + 3z = 24 + 5 + -8z

Combine like terms: 24 + 5 = 29
-54x + 3z = 29 + -8z

Add '-3z' to each side of the equation.
-54x + 3z + -3z = 29 + -8z + -3z

Combine like terms: 3z + -3z = 0
-54x + 0 = 29 + -8z + -3z
-54x = 29 + -8z + -3z

Combine like terms: -8z + -3z = -11z
-54x = 29 + -11z

Divide each side by '-54'.
x = -0.537037037 + 0.2037037037z

Simplifying
x = -0.537037037 + 0.2037037037z

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