4x-9=-7x+13

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


Simplifying
4x + -9 = -7x + 13

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

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

Solving
-9 + 4x = 13 + -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 + 4x + 7x = 13 + -7x + 7x

Combine like terms: 4x + 7x = 11x
-9 + 11x = 13 + -7x + 7x

Combine like terms: -7x + 7x = 0
-9 + 11x = 13 + 0
-9 + 11x = 13

Add '9' to each side of the equation.
-9 + 9 + 11x = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 11x = 13 + 9
11x = 13 + 9

Combine like terms: 13 + 9 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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