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

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


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

Reorder the terms:
4(-3 + 2x) = 3(x + -3)
(-3 * 4 + 2x * 4) = 3(x + -3)
(-12 + 8x) = 3(x + -3)

Reorder the terms:
-12 + 8x = 3(-3 + x)
-12 + 8x = (-3 * 3 + x * 3)
-12 + 8x = (-9 + 3x)

Solving
-12 + 8x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 8x + -3x = -9 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-12 + 5x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 5x = -9 + 0
-12 + 5x = -9

Add '12' to each side of the equation.
-12 + 12 + 5x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = -9 + 12
5x = -9 + 12

Combine like terms: -9 + 12 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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