5(2x-1)=3x+9

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Solution for 5(2x-1)=3x+9 equation:


Simplifying
5(2x + -1) = 3x + 9

Reorder the terms:
5(-1 + 2x) = 3x + 9
(-1 * 5 + 2x * 5) = 3x + 9
(-5 + 10x) = 3x + 9

Reorder the terms:
-5 + 10x = 9 + 3x

Solving
-5 + 10x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 10x + -3x = 9 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-5 + 7x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 7x = 9 + 0
-5 + 7x = 9

Add '5' to each side of the equation.
-5 + 5 + 7x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 9 + 5
7x = 9 + 5

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

Divide each side by '7'.
x = 2

Simplifying
x = 2

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