x*4+49=x*7-11

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Solution for x*4+49=x*7-11 equation:


Simplifying
x * 4 + 49 = x * 7 + -11

Reorder the terms for easier multiplication:
4x + 49 = x * 7 + -11

Reorder the terms:
49 + 4x = x * 7 + -11

Reorder the terms for easier multiplication:
49 + 4x = 7x + -11

Reorder the terms:
49 + 4x = -11 + 7x

Solving
49 + 4x = -11 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
49 + 4x + -7x = -11 + 7x + -7x

Combine like terms: 4x + -7x = -3x
49 + -3x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
49 + -3x = -11 + 0
49 + -3x = -11

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

Combine like terms: 49 + -49 = 0
0 + -3x = -11 + -49
-3x = -11 + -49

Combine like terms: -11 + -49 = -60
-3x = -60

Divide each side by '-3'.
x = 20

Simplifying
x = 20

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