2(x+1)+3x-6=4x+9

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Solution for 2(x+1)+3x-6=4x+9 equation:


Simplifying
2(x + 1) + 3x + -6 = 4x + 9

Reorder the terms:
2(1 + x) + 3x + -6 = 4x + 9
(1 * 2 + x * 2) + 3x + -6 = 4x + 9
(2 + 2x) + 3x + -6 = 4x + 9

Reorder the terms:
2 + -6 + 2x + 3x = 4x + 9

Combine like terms: 2 + -6 = -4
-4 + 2x + 3x = 4x + 9

Combine like terms: 2x + 3x = 5x
-4 + 5x = 4x + 9

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

Solving
-4 + 5x = 9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4 + 5x + -4x = 9 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-4 + 1x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 1x = 9 + 0
-4 + 1x = 9

Add '4' to each side of the equation.
-4 + 4 + 1x = 9 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 9 + 4
1x = 9 + 4

Combine like terms: 9 + 4 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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