x-1=7(4-3x)

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Solution for x-1=7(4-3x) equation:


Simplifying
x + -1 = 7(4 + -3x)

Reorder the terms:
-1 + x = 7(4 + -3x)
-1 + x = (4 * 7 + -3x * 7)
-1 + x = (28 + -21x)

Solving
-1 + x = 28 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
-1 + x + 21x = 28 + -21x + 21x

Combine like terms: x + 21x = 22x
-1 + 22x = 28 + -21x + 21x

Combine like terms: -21x + 21x = 0
-1 + 22x = 28 + 0
-1 + 22x = 28

Add '1' to each side of the equation.
-1 + 1 + 22x = 28 + 1

Combine like terms: -1 + 1 = 0
0 + 22x = 28 + 1
22x = 28 + 1

Combine like terms: 28 + 1 = 29
22x = 29

Divide each side by '22'.
x = 1.318181818

Simplifying
x = 1.318181818

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