4(x+2)=5x+9

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


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

Reorder the terms:
4(2 + x) = 5x + 9
(2 * 4 + x * 4) = 5x + 9
(8 + 4x) = 5x + 9

Reorder the terms:
8 + 4x = 9 + 5x

Solving
8 + 4x = 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.
8 + 4x + -5x = 9 + 5x + -5x

Combine like terms: 4x + -5x = -1x
8 + -1x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -1x = 9 + 0
8 + -1x = 9

Add '-8' to each side of the equation.
8 + -8 + -1x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 9 + -8
-1x = 9 + -8

Combine like terms: 9 + -8 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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