7(4-3x)+3=-6(z-4)-8

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Solution for 7(4-3x)+3=-6(z-4)-8 equation: 


Simplifying
7(4 + -3x) + 3 = -6(z + -4) + -8
(4 * 7 + -3x * 7) + 3 = -6(z + -4) + -8
(28 + -21x) + 3 = -6(z + -4) + -8

Reorder the terms:
28 + 3 + -21x = -6(z + -4) + -8

Combine like terms: 28 + 3 = 31
31 + -21x = -6(z + -4) + -8

Reorder the terms:
31 + -21x = -6(-4 + z) + -8
31 + -21x = (-4 * -6 + z * -6) + -8
31 + -21x = (24 + -6z) + -8

Reorder the terms:
31 + -21x = 24 + -8 + -6z

Combine like terms: 24 + -8 = 16
31 + -21x = 16 + -6z

Solving
31 + -21x = 16 + -6z

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + -31 + -21x = 16 + -31 + -6z

Combine like terms: 31 + -31 = 0
0 + -21x = 16 + -31 + -6z
-21x = 16 + -31 + -6z

Combine like terms: 16 + -31 = -15
-21x = -15 + -6z

Divide each side by '-21'.
x = 0.7142857143 + 0.2857142857z

Simplifying
x = 0.7142857143 + 0.2857142857z

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