x-a+7=4sqrt(x-1)

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Solution for x-a+7=4sqrt(x-1) equation:


Simplifying
x + -1a + 7 = 4sqrt(x + -1)

Reorder the terms:
7 + -1a + x = 4sqrt(x + -1)

Reorder the terms:
7 + -1a + x = 4qrst(-1 + x)
7 + -1a + x = (-1 * 4qrst + x * 4qrst)
7 + -1a + x = (-4qrst + 4qrstx)

Solving
7 + -1a + x = -4qrst + 4qrstx

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -1a + -7 + x = -4qrst + -7 + 4qrstx

Reorder the terms:
7 + -7 + -1a + x = -4qrst + -7 + 4qrstx

Combine like terms: 7 + -7 = 0
0 + -1a + x = -4qrst + -7 + 4qrstx
-1a + x = -4qrst + -7 + 4qrstx

Reorder the terms:
-1a + x = -7 + -4qrst + 4qrstx

Add '-1x' to each side of the equation.
-1a + x + -1x = -7 + -4qrst + 4qrstx + -1x

Combine like terms: x + -1x = 0
-1a + 0 = -7 + -4qrst + 4qrstx + -1x
-1a = -7 + -4qrst + 4qrstx + -1x

Divide each side by '-1'.
a = 7 + 4qrst + -4qrstx + x

Simplifying
a = 7 + 4qrst + -4qrstx + x

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