3(x-2)-5(x+3)=-4(x+9)

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Solution for 3(x-2)-5(x+3)=-4(x+9) equation:


Simplifying
3(x + -2) + -5(x + 3) = -4(x + 9)

Reorder the terms:
3(-2 + x) + -5(x + 3) = -4(x + 9)
(-2 * 3 + x * 3) + -5(x + 3) = -4(x + 9)
(-6 + 3x) + -5(x + 3) = -4(x + 9)

Reorder the terms:
-6 + 3x + -5(3 + x) = -4(x + 9)
-6 + 3x + (3 * -5 + x * -5) = -4(x + 9)
-6 + 3x + (-15 + -5x) = -4(x + 9)

Reorder the terms:
-6 + -15 + 3x + -5x = -4(x + 9)

Combine like terms: -6 + -15 = -21
-21 + 3x + -5x = -4(x + 9)

Combine like terms: 3x + -5x = -2x
-21 + -2x = -4(x + 9)

Reorder the terms:
-21 + -2x = -4(9 + x)
-21 + -2x = (9 * -4 + x * -4)
-21 + -2x = (-36 + -4x)

Solving
-21 + -2x = -36 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-21 + -2x + 4x = -36 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-21 + 2x = -36 + -4x + 4x

Combine like terms: -4x + 4x = 0
-21 + 2x = -36 + 0
-21 + 2x = -36

Add '21' to each side of the equation.
-21 + 21 + 2x = -36 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = -36 + 21
2x = -36 + 21

Combine like terms: -36 + 21 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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