5(2x-3)=2x-3(4x-3)

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Solution for 5(2x-3)=2x-3(4x-3) equation:


Simplifying
5(2x + -3) = 2x + -3(4x + -3)

Reorder the terms:
5(-3 + 2x) = 2x + -3(4x + -3)
(-3 * 5 + 2x * 5) = 2x + -3(4x + -3)
(-15 + 10x) = 2x + -3(4x + -3)

Reorder the terms:
-15 + 10x = 2x + -3(-3 + 4x)
-15 + 10x = 2x + (-3 * -3 + 4x * -3)
-15 + 10x = 2x + (9 + -12x)

Reorder the terms:
-15 + 10x = 9 + 2x + -12x

Combine like terms: 2x + -12x = -10x
-15 + 10x = 9 + -10x

Solving
-15 + 10x = 9 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-15 + 10x + 10x = 9 + -10x + 10x

Combine like terms: 10x + 10x = 20x
-15 + 20x = 9 + -10x + 10x

Combine like terms: -10x + 10x = 0
-15 + 20x = 9 + 0
-15 + 20x = 9

Add '15' to each side of the equation.
-15 + 15 + 20x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 20x = 9 + 15
20x = 9 + 15

Combine like terms: 9 + 15 = 24
20x = 24

Divide each side by '20'.
x = 1.2

Simplifying
x = 1.2

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