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

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


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

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

Reorder the terms:
-12 + -3x = -5(-2 + x) + -4
-12 + -3x = (-2 * -5 + x * -5) + -4
-12 + -3x = (10 + -5x) + -4

Reorder the terms:
-12 + -3x = 10 + -4 + -5x

Combine like terms: 10 + -4 = 6
-12 + -3x = 6 + -5x

Solving
-12 + -3x = 6 + -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 + -3x + 5x = 6 + -5x + 5x

Combine like terms: -3x + 5x = 2x
-12 + 2x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-12 + 2x = 6 + 0
-12 + 2x = 6

Add '12' to each side of the equation.
-12 + 12 + 2x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 6 + 12
2x = 6 + 12

Combine like terms: 6 + 12 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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