7(14-x)-5z=-16+2(x-27)

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Solution for 7(14-x)-5z=-16+2(x-27) equation:


Simplifying
7(14 + -1x) + -5z = -16 + 2(x + -27)
(14 * 7 + -1x * 7) + -5z = -16 + 2(x + -27)
(98 + -7x) + -5z = -16 + 2(x + -27)

Reorder the terms:
98 + -7x + -5z = -16 + 2(-27 + x)
98 + -7x + -5z = -16 + (-27 * 2 + x * 2)
98 + -7x + -5z = -16 + (-54 + 2x)

Combine like terms: -16 + -54 = -70
98 + -7x + -5z = -70 + 2x

Solving
98 + -7x + -5z = -70 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
98 + -7x + -2x + -5z = -70 + 2x + -2x

Combine like terms: -7x + -2x = -9x
98 + -9x + -5z = -70 + 2x + -2x

Combine like terms: 2x + -2x = 0
98 + -9x + -5z = -70 + 0
98 + -9x + -5z = -70

Add '-98' to each side of the equation.
98 + -9x + -98 + -5z = -70 + -98

Reorder the terms:
98 + -98 + -9x + -5z = -70 + -98

Combine like terms: 98 + -98 = 0
0 + -9x + -5z = -70 + -98
-9x + -5z = -70 + -98

Combine like terms: -70 + -98 = -168
-9x + -5z = -168

Add '5z' to each side of the equation.
-9x + -5z + 5z = -168 + 5z

Combine like terms: -5z + 5z = 0
-9x + 0 = -168 + 5z
-9x = -168 + 5z

Divide each side by '-9'.
x = 18.66666667 + -0.5555555556z

Simplifying
x = 18.66666667 + -0.5555555556z

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