3x-4+4x=5(x+1)+9

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Solution for 3x-4+4x=5(x+1)+9 equation:


Simplifying
3x + -4 + 4x = 5(x + 1) + 9

Reorder the terms:
-4 + 3x + 4x = 5(x + 1) + 9

Combine like terms: 3x + 4x = 7x
-4 + 7x = 5(x + 1) + 9

Reorder the terms:
-4 + 7x = 5(1 + x) + 9
-4 + 7x = (1 * 5 + x * 5) + 9
-4 + 7x = (5 + 5x) + 9

Reorder the terms:
-4 + 7x = 5 + 9 + 5x

Combine like terms: 5 + 9 = 14
-4 + 7x = 14 + 5x

Solving
-4 + 7x = 14 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-4 + 7x + -5x = 14 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-4 + 2x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 2x = 14 + 0
-4 + 2x = 14

Add '4' to each side of the equation.
-4 + 4 + 2x = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 14 + 4
2x = 14 + 4

Combine like terms: 14 + 4 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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