8+2*(x-1)=7-(x+4)

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Solution for 8+2*(x-1)=7-(x+4) equation:


Simplifying
8 + 2(x + -1) = 7 + -1(x + 4)

Reorder the terms:
8 + 2(-1 + x) = 7 + -1(x + 4)
8 + (-1 * 2 + x * 2) = 7 + -1(x + 4)
8 + (-2 + 2x) = 7 + -1(x + 4)

Combine like terms: 8 + -2 = 6
6 + 2x = 7 + -1(x + 4)

Reorder the terms:
6 + 2x = 7 + -1(4 + x)
6 + 2x = 7 + (4 * -1 + x * -1)
6 + 2x = 7 + (-4 + -1x)

Combine like terms: 7 + -4 = 3
6 + 2x = 3 + -1x

Solving
6 + 2x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 2x + x = 3 + -1x + x

Combine like terms: 2x + x = 3x
6 + 3x = 3 + -1x + x

Combine like terms: -1x + x = 0
6 + 3x = 3 + 0
6 + 3x = 3

Add '-6' to each side of the equation.
6 + -6 + 3x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 3 + -6
3x = 3 + -6

Combine like terms: 3 + -6 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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