4-(4x+9)=16-7x

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Solution for 4-(4x+9)=16-7x equation:


Simplifying
4 + -1(4x + 9) = 16 + -7x

Reorder the terms:
4 + -1(9 + 4x) = 16 + -7x
4 + (9 * -1 + 4x * -1) = 16 + -7x
4 + (-9 + -4x) = 16 + -7x

Combine like terms: 4 + -9 = -5
-5 + -4x = 16 + -7x

Solving
-5 + -4x = 16 + -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.
-5 + -4x + 7x = 16 + -7x + 7x

Combine like terms: -4x + 7x = 3x
-5 + 3x = 16 + -7x + 7x

Combine like terms: -7x + 7x = 0
-5 + 3x = 16 + 0
-5 + 3x = 16

Add '5' to each side of the equation.
-5 + 5 + 3x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 16 + 5
3x = 16 + 5

Combine like terms: 16 + 5 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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