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

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


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

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

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

Combine like terms: -5 + -3 = -8
-8 + 10x = 5x + 9

Reorder the terms:
-8 + 10x = 9 + 5x

Solving
-8 + 10x = 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 + 10x + -5x = 9 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-8 + 5x = 9 + 5x + -5x

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 9 + 8

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

Combine like terms: 9 + 8 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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