2x+4(x-1)=5x+9

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Solution for 2x+4(x-1)=5x+9 equation:


Simplifying
2x + 4(x + -1) = 5x + 9

Reorder the terms:
2x + 4(-1 + x) = 5x + 9
2x + (-1 * 4 + x * 4) = 5x + 9
2x + (-4 + 4x) = 5x + 9

Reorder the terms:
-4 + 2x + 4x = 5x + 9

Combine like terms: 2x + 4x = 6x
-4 + 6x = 5x + 9

Reorder the terms:
-4 + 6x = 9 + 5x

Solving
-4 + 6x = 9 + 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 + 6x + -5x = 9 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-4 + 1x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 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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