7x-13=9x-30

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Solution for 7x-13=9x-30 equation:


Simplifying
7x + -13 = 9x + -30

Reorder the terms:
-13 + 7x = 9x + -30

Reorder the terms:
-13 + 7x = -30 + 9x

Solving
-13 + 7x = -30 + 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.
-13 + 7x + -9x = -30 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-13 + -2x = -30 + 9x + -9x

Combine like terms: 9x + -9x = 0
-13 + -2x = -30 + 0
-13 + -2x = -30

Add '13' to each side of the equation.
-13 + 13 + -2x = -30 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = -30 + 13
-2x = -30 + 13

Combine like terms: -30 + 13 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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