3(x-2)=5x+14

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


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

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

Reorder the terms:
-6 + 3x = 14 + 5x

Solving
-6 + 3x = 14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 3x + -5x = 14 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = 14 + 0
-6 + -2x = 14

Add '6' to each side of the equation.
-6 + 6 + -2x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 14 + 6
-2x = 14 + 6

Combine like terms: 14 + 6 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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