3x+7=11x-49

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Solution for 3x+7=11x-49 equation:


Simplifying
3x + 7 = 11x + -49

Reorder the terms:
7 + 3x = 11x + -49

Reorder the terms:
7 + 3x = -49 + 11x

Solving
7 + 3x = -49 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
7 + 3x + -11x = -49 + 11x + -11x

Combine like terms: 3x + -11x = -8x
7 + -8x = -49 + 11x + -11x

Combine like terms: 11x + -11x = 0
7 + -8x = -49 + 0
7 + -8x = -49

Add '-7' to each side of the equation.
7 + -7 + -8x = -49 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -49 + -7
-8x = -49 + -7

Combine like terms: -49 + -7 = -56
-8x = -56

Divide each side by '-8'.
x = 7

Simplifying
x = 7

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