3(9-x)=2x-10

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Solution for 3(9-x)=2x-10 equation:


Simplifying
3(9 + -1x) = 2x + -10
(9 * 3 + -1x * 3) = 2x + -10
(27 + -3x) = 2x + -10

Reorder the terms:
27 + -3x = -10 + 2x

Solving
27 + -3x = -10 + 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.
27 + -3x + -2x = -10 + 2x + -2x

Combine like terms: -3x + -2x = -5x
27 + -5x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
27 + -5x = -10 + 0
27 + -5x = -10

Add '-27' to each side of the equation.
27 + -27 + -5x = -10 + -27

Combine like terms: 27 + -27 = 0
0 + -5x = -10 + -27
-5x = -10 + -27

Combine like terms: -10 + -27 = -37
-5x = -37

Divide each side by '-5'.
x = 7.4

Simplifying
x = 7.4

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