-7(x-3)=-6(x-5)

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Solution for -7(x-3)=-6(x-5) equation:


Simplifying
-7(x + -3) = -6(x + -5)

Reorder the terms:
-7(-3 + x) = -6(x + -5)
(-3 * -7 + x * -7) = -6(x + -5)
(21 + -7x) = -6(x + -5)

Reorder the terms:
21 + -7x = -6(-5 + x)
21 + -7x = (-5 * -6 + x * -6)
21 + -7x = (30 + -6x)

Solving
21 + -7x = 30 + -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.
21 + -7x + 6x = 30 + -6x + 6x

Combine like terms: -7x + 6x = -1x
21 + -1x = 30 + -6x + 6x

Combine like terms: -6x + 6x = 0
21 + -1x = 30 + 0
21 + -1x = 30

Add '-21' to each side of the equation.
21 + -21 + -1x = 30 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 30 + -21
-1x = 30 + -21

Combine like terms: 30 + -21 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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