3-(x-1)=-7x+16

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Solution for 3-(x-1)=-7x+16 equation:


Simplifying
3 + -1(x + -1) = -7x + 16

Reorder the terms:
3 + -1(-1 + x) = -7x + 16
3 + (-1 * -1 + x * -1) = -7x + 16
3 + (1 + -1x) = -7x + 16

Combine like terms: 3 + 1 = 4
4 + -1x = -7x + 16

Reorder the terms:
4 + -1x = 16 + -7x

Solving
4 + -1x = 16 + -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 + -1x + 7x = 16 + -7x + 7x

Combine like terms: -1x + 7x = 6x
4 + 6x = 16 + -7x + 7x

Combine like terms: -7x + 7x = 0
4 + 6x = 16 + 0
4 + 6x = 16

Add '-4' to each side of the equation.
4 + -4 + 6x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = 16 + -4
6x = 16 + -4

Combine like terms: 16 + -4 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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