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

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


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

Reorder the terms:
5(-3 + 2x) = 9 + -5(2 + -1x)
(-3 * 5 + 2x * 5) = 9 + -5(2 + -1x)
(-15 + 10x) = 9 + -5(2 + -1x)
-15 + 10x = 9 + (2 * -5 + -1x * -5)
-15 + 10x = 9 + (-10 + 5x)

Combine like terms: 9 + -10 = -1
-15 + 10x = -1 + 5x

Solving
-15 + 10x = -1 + 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.
-15 + 10x + -5x = -1 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-15 + 5x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 5x = -1 + 0
-15 + 5x = -1

Add '15' to each side of the equation.
-15 + 15 + 5x = -1 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = -1 + 15
5x = -1 + 15

Combine like terms: -1 + 15 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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