2(x-3)-14=3(5-x)+10

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Solution for 2(x-3)-14=3(5-x)+10 equation: 


Simplifying
2(x + -3) + -14 = 3(5 + -1x) + 10

Reorder the terms:
2(-3 + x) + -14 = 3(5 + -1x) + 10
(-3 * 2 + x * 2) + -14 = 3(5 + -1x) + 10
(-6 + 2x) + -14 = 3(5 + -1x) + 10

Reorder the terms:
-6 + -14 + 2x = 3(5 + -1x) + 10

Combine like terms: -6 + -14 = -20
-20 + 2x = 3(5 + -1x) + 10
-20 + 2x = (5 * 3 + -1x * 3) + 10
-20 + 2x = (15 + -3x) + 10

Reorder the terms:
-20 + 2x = 15 + 10 + -3x

Combine like terms: 15 + 10 = 25
-20 + 2x = 25 + -3x

Solving
-20 + 2x = 25 + -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.
-20 + 2x + 3x = 25 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-20 + 5x = 25 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 5x = 25 + 0
-20 + 5x = 25

Add '20' to each side of the equation.
-20 + 20 + 5x = 25 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 25 + 20
5x = 25 + 20

Combine like terms: 25 + 20 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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