4x-13=-7x+9

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


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

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

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

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

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

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

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

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

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

Divide each side by '11'.
x = 2

Simplifying
x = 2

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