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

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


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

Reorder the terms:
-6(5 + x) = -7(x + -3)
(5 * -6 + x * -6) = -7(x + -3)
(-30 + -6x) = -7(x + -3)

Reorder the terms:
-30 + -6x = -7(-3 + x)
-30 + -6x = (-3 * -7 + x * -7)
-30 + -6x = (21 + -7x)

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

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

Combine like terms: -7x + 7x = 0
-30 + 1x = 21 + 0
-30 + 1x = 21

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

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

Combine like terms: 21 + 30 = 51
1x = 51

Divide each side by '1'.
x = 51

Simplifying
x = 51

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