7x-49=4x-10

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Solution for 7x-49=4x-10 equation:


Simplifying
7x + -49 = 4x + -10

Reorder the terms:
-49 + 7x = 4x + -10

Reorder the terms:
-49 + 7x = -10 + 4x

Solving
-49 + 7x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-49 + 7x + -4x = -10 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-49 + 3x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-49 + 3x = -10 + 0
-49 + 3x = -10

Add '49' to each side of the equation.
-49 + 49 + 3x = -10 + 49

Combine like terms: -49 + 49 = 0
0 + 3x = -10 + 49
3x = -10 + 49

Combine like terms: -10 + 49 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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