-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 + -10 + -3x + 5x = -4

Combine like terms: -12 + -10 = -22
-22 + -3x + 5x = -4

Combine like terms: -3x + 5x = 2x
-22 + 2x = -4

Solving
-22 + 2x = -4

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 2x = -4 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -4 + 22
2x = -4 + 22

Combine like terms: -4 + 22 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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