6x-9=-7(x-1)

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Solution for 6x-9=-7(x-1) equation:


Simplifying
6x + -9 = -7(x + -1)

Reorder the terms:
-9 + 6x = -7(x + -1)

Reorder the terms:
-9 + 6x = -7(-1 + x)
-9 + 6x = (-1 * -7 + x * -7)
-9 + 6x = (7 + -7x)

Solving
-9 + 6x = 7 + -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.
-9 + 6x + 7x = 7 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-9 + 13x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
-9 + 13x = 7 + 0
-9 + 13x = 7

Add '9' to each side of the equation.
-9 + 9 + 13x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 13x = 7 + 9
13x = 7 + 9

Combine like terms: 7 + 9 = 16
13x = 16

Divide each side by '13'.
x = 1.230769231

Simplifying
x = 1.230769231

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