7x+4=9x+13

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Solution for 7x+4=9x+13 equation:


Simplifying
7x + 4 = 9x + 13

Reorder the terms:
4 + 7x = 9x + 13

Reorder the terms:
4 + 7x = 13 + 9x

Solving
4 + 7x = 13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
4 + 7x + -9x = 13 + 9x + -9x

Combine like terms: 7x + -9x = -2x
4 + -2x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -2x = 13 + 0
4 + -2x = 13

Add '-4' to each side of the equation.
4 + -4 + -2x = 13 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 13 + -4
-2x = 13 + -4

Combine like terms: 13 + -4 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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