(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

Remove parenthesis around (9 + 4x)
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 = -3x
9 + -3x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -3x = -13 + 0
9 + -3x = -13

Add '-9' to each side of the equation.
9 + -9 + -3x = -13 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -13 + -9
-3x = -13 + -9

Combine like terms: -13 + -9 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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