2(x+9)=5x+3

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Solution for 2(x+9)=5x+3 equation:


Simplifying
2(x + 9) = 5x + 3

Reorder the terms:
2(9 + x) = 5x + 3
(9 * 2 + x * 2) = 5x + 3
(18 + 2x) = 5x + 3

Reorder the terms:
18 + 2x = 3 + 5x

Solving
18 + 2x = 3 + 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.
18 + 2x + -5x = 3 + 5x + -5x

Combine like terms: 2x + -5x = -3x
18 + -3x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -3x = 3 + 0
18 + -3x = 3

Add '-18' to each side of the equation.
18 + -18 + -3x = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 3 + -18
-3x = 3 + -18

Combine like terms: 3 + -18 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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