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

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


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

Reorder the terms:
5(-4 + 2x) = 3(4x + -3)
(-4 * 5 + 2x * 5) = 3(4x + -3)
(-20 + 10x) = 3(4x + -3)

Reorder the terms:
-20 + 10x = 3(-3 + 4x)
-20 + 10x = (-3 * 3 + 4x * 3)
-20 + 10x = (-9 + 12x)

Solving
-20 + 10x = -9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-20 + 10x + -12x = -9 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-20 + -2x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
-20 + -2x = -9 + 0
-20 + -2x = -9

Add '20' to each side of the equation.
-20 + 20 + -2x = -9 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = -9 + 20
-2x = -9 + 20

Combine like terms: -9 + 20 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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