(10)2x-3=(10)3(4x-3)

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Solution for (10)2x-3=(10)3(4x-3) equation:


Simplifying
(10) * 2x + -3 = (10) * 3(4x + -3)

Multiply 10 * 2
20x + -3 = (10) * 3(4x + -3)

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

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

Multiply 10 * 3
-3 + 20x = 30(-3 + 4x)
-3 + 20x = (-3 * 30 + 4x * 30)
-3 + 20x = (-90 + 120x)

Solving
-3 + 20x = -90 + 120x

Solving for variable 'x'.

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

Add '-120x' to each side of the equation.
-3 + 20x + -120x = -90 + 120x + -120x

Combine like terms: 20x + -120x = -100x
-3 + -100x = -90 + 120x + -120x

Combine like terms: 120x + -120x = 0
-3 + -100x = -90 + 0
-3 + -100x = -90

Add '3' to each side of the equation.
-3 + 3 + -100x = -90 + 3

Combine like terms: -3 + 3 = 0
0 + -100x = -90 + 3
-100x = -90 + 3

Combine like terms: -90 + 3 = -87
-100x = -87

Divide each side by '-100'.
x = 0.87

Simplifying
x = 0.87

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