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

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


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

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

Solving
15 + -5x = 6 + -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 + -5x + 2x = 6 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
15 + -3x = 6 + 0
15 + -3x = 6

Add '-15' to each side of the equation.
15 + -15 + -3x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = 6 + -15
-3x = 6 + -15

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

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

Simplifying
x = 3

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