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

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


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

Reorder the terms:
3(-5 + x) + -9 = -2(x + 5) + -2
(-5 * 3 + x * 3) + -9 = -2(x + 5) + -2
(-15 + 3x) + -9 = -2(x + 5) + -2

Reorder the terms:
-15 + -9 + 3x = -2(x + 5) + -2

Combine like terms: -15 + -9 = -24
-24 + 3x = -2(x + 5) + -2

Reorder the terms:
-24 + 3x = -2(5 + x) + -2
-24 + 3x = (5 * -2 + x * -2) + -2
-24 + 3x = (-10 + -2x) + -2

Reorder the terms:
-24 + 3x = -10 + -2 + -2x

Combine like terms: -10 + -2 = -12
-24 + 3x = -12 + -2x

Solving
-24 + 3x = -12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-24 + 3x + 2x = -12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-24 + 5x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 5x = -12 + 0
-24 + 5x = -12

Add '24' to each side of the equation.
-24 + 24 + 5x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = -12 + 24
5x = -12 + 24

Combine like terms: -12 + 24 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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