2(7X+4)=4X-6(2-Z)+7

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Solution for 2(7X+4)=4X-6(2-Z)+7 equation:


Simplifying
2(7X + 4) = 4X + -6(2 + -1Z) + 7

Reorder the terms:
2(4 + 7X) = 4X + -6(2 + -1Z) + 7
(4 * 2 + 7X * 2) = 4X + -6(2 + -1Z) + 7
(8 + 14X) = 4X + -6(2 + -1Z) + 7
8 + 14X = 4X + (2 * -6 + -1Z * -6) + 7
8 + 14X = 4X + (-12 + 6Z) + 7

Reorder the terms:
8 + 14X = -12 + 7 + 4X + 6Z

Combine like terms: -12 + 7 = -5
8 + 14X = -5 + 4X + 6Z

Solving
8 + 14X = -5 + 4X + 6Z

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
8 + 14X + -4X = -5 + 4X + -4X + 6Z

Combine like terms: 14X + -4X = 10X
8 + 10X = -5 + 4X + -4X + 6Z

Combine like terms: 4X + -4X = 0
8 + 10X = -5 + 0 + 6Z
8 + 10X = -5 + 6Z

Add '-8' to each side of the equation.
8 + -8 + 10X = -5 + -8 + 6Z

Combine like terms: 8 + -8 = 0
0 + 10X = -5 + -8 + 6Z
10X = -5 + -8 + 6Z

Combine like terms: -5 + -8 = -13
10X = -13 + 6Z

Divide each side by '10'.
X = -1.3 + 0.6Z

Simplifying
X = -1.3 + 0.6Z

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