-6(x+7)-3=-5(x-4)

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Solution for -6(x+7)-3=-5(x-4) equation:


Simplifying
-6(x + 7) + -3 = -5(x + -4)

Reorder the terms:
-6(7 + x) + -3 = -5(x + -4)
(7 * -6 + x * -6) + -3 = -5(x + -4)
(-42 + -6x) + -3 = -5(x + -4)

Reorder the terms:
-42 + -3 + -6x = -5(x + -4)

Combine like terms: -42 + -3 = -45
-45 + -6x = -5(x + -4)

Reorder the terms:
-45 + -6x = -5(-4 + x)
-45 + -6x = (-4 * -5 + x * -5)
-45 + -6x = (20 + -5x)

Solving
-45 + -6x = 20 + -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.
-45 + -6x + 5x = 20 + -5x + 5x

Combine like terms: -6x + 5x = -1x
-45 + -1x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-45 + -1x = 20 + 0
-45 + -1x = 20

Add '45' to each side of the equation.
-45 + 45 + -1x = 20 + 45

Combine like terms: -45 + 45 = 0
0 + -1x = 20 + 45
-1x = 20 + 45

Combine like terms: 20 + 45 = 65
-1x = 65

Divide each side by '-1'.
x = -65

Simplifying
x = -65

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