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

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


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

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

Reorder the terms:
-9 + 12x = 4(-2 + x) + -3
-9 + 12x = (-2 * 4 + x * 4) + -3
-9 + 12x = (-8 + 4x) + -3

Reorder the terms:
-9 + 12x = -8 + -3 + 4x

Combine like terms: -8 + -3 = -11
-9 + 12x = -11 + 4x

Solving
-9 + 12x = -11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 12x + -4x = -11 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-9 + 8x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 8x = -11 + 0
-9 + 8x = -11

Add '9' to each side of the equation.
-9 + 9 + 8x = -11 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = -11 + 9
8x = -11 + 9

Combine like terms: -11 + 9 = -2
8x = -2

Divide each side by '8'.
x = -0.25

Simplifying
x = -0.25

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