-6(x-1)-7=-7x+22

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Solution for -6(x-1)-7=-7x+22 equation:


Simplifying
-6(x + -1) + -7 = -7x + 22

Reorder the terms:
-6(-1 + x) + -7 = -7x + 22
(-1 * -6 + x * -6) + -7 = -7x + 22
(6 + -6x) + -7 = -7x + 22

Reorder the terms:
6 + -7 + -6x = -7x + 22

Combine like terms: 6 + -7 = -1
-1 + -6x = -7x + 22

Reorder the terms:
-1 + -6x = 22 + -7x

Solving
-1 + -6x = 22 + -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.
-1 + -6x + 7x = 22 + -7x + 7x

Combine like terms: -6x + 7x = 1x
-1 + 1x = 22 + -7x + 7x

Combine like terms: -7x + 7x = 0
-1 + 1x = 22 + 0
-1 + 1x = 22

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

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

Combine like terms: 22 + 1 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23

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