3x-4=14x+7

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Solution for 3x-4=14x+7 equation:


Simplifying
3x + -4 = 14x + 7

Reorder the terms:
-4 + 3x = 14x + 7

Reorder the terms:
-4 + 3x = 7 + 14x

Solving
-4 + 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.
-4 + 3x + -14x = 7 + 14x + -14x

Combine like terms: 3x + -14x = -11x
-4 + -11x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0
-4 + -11x = 7 + 0
-4 + -11x = 7

Add '4' to each side of the equation.
-4 + 4 + -11x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + -11x = 7 + 4
-11x = 7 + 4

Combine like terms: 7 + 4 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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