3x-9=7x-49

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Solution for 3x-9=7x-49 equation:


Simplifying
3x + -9 = 7x + -49

Reorder the terms:
-9 + 3x = 7x + -49

Reorder the terms:
-9 + 3x = -49 + 7x

Solving
-9 + 3x = -49 + 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.
-9 + 3x + -7x = -49 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-9 + -4x = -49 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + -4x = -49 + 0
-9 + -4x = -49

Add '9' to each side of the equation.
-9 + 9 + -4x = -49 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = -49 + 9
-4x = -49 + 9

Combine like terms: -49 + 9 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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