(4x-6)=3(4x-3)

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Solution for (4x-6)=3(4x-3) equation:


Simplifying
(4x + -6) = 3(4x + -3)

Reorder the terms:
(-6 + 4x) = 3(4x + -3)

Remove parenthesis around (-6 + 4x)
-6 + 4x = 3(4x + -3)

Reorder the terms:
-6 + 4x = 3(-3 + 4x)
-6 + 4x = (-3 * 3 + 4x * 3)
-6 + 4x = (-9 + 12x)

Solving
-6 + 4x = -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.
-6 + 4x + -12x = -9 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-6 + -8x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -8x = -9 + 0
-6 + -8x = -9

Add '6' to each side of the equation.
-6 + 6 + -8x = -9 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = -9 + 6
-8x = -9 + 6

Combine like terms: -9 + 6 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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