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

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


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

Reorder the terms:
-5(-2 + x) = 3x + -9
(-2 * -5 + x * -5) = 3x + -9
(10 + -5x) = 3x + -9

Reorder the terms:
10 + -5x = -9 + 3x

Solving
10 + -5x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -5x + -3x = -9 + 3x + -3x

Combine like terms: -5x + -3x = -8x
10 + -8x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -8x = -9 + 0
10 + -8x = -9

Add '-10' to each side of the equation.
10 + -10 + -8x = -9 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -9 + -10
-8x = -9 + -10

Combine like terms: -9 + -10 = -19
-8x = -19

Divide each side by '-8'.
x = 2.375

Simplifying
x = 2.375

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