3(x-2)=14x+7

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Solution for 3(x-2)=14x+7 equation:


Simplifying
3(x + -2) = 14x + 7

Reorder the terms:
3(-2 + x) = 14x + 7
(-2 * 3 + x * 3) = 14x + 7
(-6 + 3x) = 14x + 7

Reorder the terms:
-6 + 3x = 7 + 14x

Solving
-6 + 3x = 7 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-6 + 3x + -14x = 7 + 14x + -14x

Combine like terms: 3x + -14x = -11x
-6 + -11x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0
-6 + -11x = 7 + 0
-6 + -11x = 7

Add '6' to each side of the equation.
-6 + 6 + -11x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + -11x = 7 + 6
-11x = 7 + 6

Combine like terms: 7 + 6 = 13
-11x = 13

Divide each side by '-11'.
x = -1.181818182

Simplifying
x = -1.181818182

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