-6(x+1)=-5(x-2)

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Solution for -6(x+1)=-5(x-2) equation:


Simplifying
-6(x + 1) = -5(x + -2)

Reorder the terms:
-6(1 + x) = -5(x + -2)
(1 * -6 + x * -6) = -5(x + -2)
(-6 + -6x) = -5(x + -2)

Reorder the terms:
-6 + -6x = -5(-2 + x)
-6 + -6x = (-2 * -5 + x * -5)
-6 + -6x = (10 + -5x)

Solving
-6 + -6x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-6 + -6x + 5x = 10 + -5x + 5x

Combine like terms: -6x + 5x = -1x
-6 + -1x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + -1x = 10 + 0
-6 + -1x = 10

Add '6' to each side of the equation.
-6 + 6 + -1x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 10 + 6
-1x = 10 + 6

Combine like terms: 10 + 6 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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