7x+13=49-2x

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Solution for 7x+13=49-2x equation:


Simplifying
7x + 13 = 49 + -2x

Reorder the terms:
13 + 7x = 49 + -2x

Solving
13 + 7x = 49 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
13 + 7x + 2x = 49 + -2x + 2x

Combine like terms: 7x + 2x = 9x
13 + 9x = 49 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 9x = 49 + 0
13 + 9x = 49

Add '-13' to each side of the equation.
13 + -13 + 9x = 49 + -13

Combine like terms: 13 + -13 = 0
0 + 9x = 49 + -13
9x = 49 + -13

Combine like terms: 49 + -13 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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