-4(x+3)=(-5x-2)

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Solution for -4(x+3)=(-5x-2) equation:


Simplifying
-4(x + 3) = (-5x + -2)

Reorder the terms:
-4(3 + x) = (-5x + -2)
(3 * -4 + x * -4) = (-5x + -2)
(-12 + -4x) = (-5x + -2)

Reorder the terms:
-12 + -4x = (-2 + -5x)

Remove parenthesis around (-2 + -5x)
-12 + -4x = -2 + -5x

Solving
-12 + -4x = -2 + -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.
-12 + -4x + 5x = -2 + -5x + 5x

Combine like terms: -4x + 5x = 1x
-12 + 1x = -2 + -5x + 5x

Combine like terms: -5x + 5x = 0
-12 + 1x = -2 + 0
-12 + 1x = -2

Add '12' to each side of the equation.
-12 + 12 + 1x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -2 + 12
1x = -2 + 12

Combine like terms: -2 + 12 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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