4x-6(-2x-z+14)+3z=5

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Solution for 4x-6(-2x-z+14)+3z=5 equation:


Simplifying
4x + -6(-2x + -1z + 14) + 3z = 5

Reorder the terms:
4x + -6(14 + -2x + -1z) + 3z = 5
4x + (14 * -6 + -2x * -6 + -1z * -6) + 3z = 5
4x + (-84 + 12x + 6z) + 3z = 5

Reorder the terms:
-84 + 4x + 12x + 6z + 3z = 5

Combine like terms: 4x + 12x = 16x
-84 + 16x + 6z + 3z = 5

Combine like terms: 6z + 3z = 9z
-84 + 16x + 9z = 5

Solving
-84 + 16x + 9z = 5

Solving for variable 'x'.

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

Add '84' to each side of the equation.
-84 + 16x + 84 + 9z = 5 + 84

Reorder the terms:
-84 + 84 + 16x + 9z = 5 + 84

Combine like terms: -84 + 84 = 0
0 + 16x + 9z = 5 + 84
16x + 9z = 5 + 84

Combine like terms: 5 + 84 = 89
16x + 9z = 89

Add '-9z' to each side of the equation.
16x + 9z + -9z = 89 + -9z

Combine like terms: 9z + -9z = 0
16x + 0 = 89 + -9z
16x = 89 + -9z

Divide each side by '16'.
x = 5.5625 + -0.5625z

Simplifying
x = 5.5625 + -0.5625z

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