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

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


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

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

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

Reorder the terms:
-15 + -2x = -9 + 2x

Solving
-15 + -2x = -9 + 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.
-15 + -2x + -2x = -9 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-15 + -4x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + -4x = -9 + 0
-15 + -4x = -9

Add '15' to each side of the equation.
-15 + 15 + -4x = -9 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = -9 + 15
-4x = -9 + 15

Combine like terms: -9 + 15 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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