7x+8=6(x-2)-1

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Solution for 7x+8=6(x-2)-1 equation:


Simplifying
7x + 8 = 6(x + -2) + -1

Reorder the terms:
8 + 7x = 6(x + -2) + -1

Reorder the terms:
8 + 7x = 6(-2 + x) + -1
8 + 7x = (-2 * 6 + x * 6) + -1
8 + 7x = (-12 + 6x) + -1

Reorder the terms:
8 + 7x = -12 + -1 + 6x

Combine like terms: -12 + -1 = -13
8 + 7x = -13 + 6x

Solving
8 + 7x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 7x + -6x = -13 + 6x + -6x

Combine like terms: 7x + -6x = 1x
8 + 1x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 1x = -13 + 0
8 + 1x = -13

Add '-8' to each side of the equation.
8 + -8 + 1x = -13 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -13 + -8
1x = -13 + -8

Combine like terms: -13 + -8 = -21
1x = -21

Divide each side by '1'.
x = -21

Simplifying
x = -21

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