4=2-7(x-1)

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Solution for 4=2-7(x-1) equation:


Simplifying
4 = 2 + -7(x + -1)

Reorder the terms:
4 = 2 + -7(-1 + x)
4 = 2 + (-1 * -7 + x * -7)
4 = 2 + (7 + -7x)

Combine like terms: 2 + 7 = 9
4 = 9 + -7x

Solving
4 = 9 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
4 + 7x = 9 + -7x + 7x

Combine like terms: -7x + 7x = 0
4 + 7x = 9 + 0
4 + 7x = 9

Add '-4' to each side of the equation.
4 + -4 + 7x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 9 + -4
7x = 9 + -4

Combine like terms: 9 + -4 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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