2x-5(x-3)=6+2-9

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Solution for 2x-5(x-3)=6+2-9 equation:


Simplifying
2x + -5(x + -3) = 6 + 2 + -9

Reorder the terms:
2x + -5(-3 + x) = 6 + 2 + -9
2x + (-3 * -5 + x * -5) = 6 + 2 + -9
2x + (15 + -5x) = 6 + 2 + -9

Reorder the terms:
15 + 2x + -5x = 6 + 2 + -9

Combine like terms: 2x + -5x = -3x
15 + -3x = 6 + 2 + -9

Combine like terms: 6 + 2 = 8
15 + -3x = 8 + -9

Combine like terms: 8 + -9 = -1
15 + -3x = -1

Solving
15 + -3x = -1

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -3x = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -1 + -15
-3x = -1 + -15

Combine like terms: -1 + -15 = -16
-3x = -16

Divide each side by '-3'.
x = 5.333333333

Simplifying
x = 5.333333333

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