2x+7=14x-41

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Solution for 2x+7=14x-41 equation:


Simplifying
2x + 7 = 14x + -41

Reorder the terms:
7 + 2x = 14x + -41

Reorder the terms:
7 + 2x = -41 + 14x

Solving
7 + 2x = -41 + 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.
7 + 2x + -14x = -41 + 14x + -14x

Combine like terms: 2x + -14x = -12x
7 + -12x = -41 + 14x + -14x

Combine like terms: 14x + -14x = 0
7 + -12x = -41 + 0
7 + -12x = -41

Add '-7' to each side of the equation.
7 + -7 + -12x = -41 + -7

Combine like terms: 7 + -7 = 0
0 + -12x = -41 + -7
-12x = -41 + -7

Combine like terms: -41 + -7 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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