3(4x-3)=2(x-9)

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Solution for 3(4x-3)=2(x-9) equation:


Simplifying
3(4x + -3) = 2(x + -9)

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

Reorder the terms:
-9 + 12x = 2(-9 + x)
-9 + 12x = (-9 * 2 + x * 2)
-9 + 12x = (-18 + 2x)

Solving
-9 + 12x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 12x + -2x = -18 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-9 + 10x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 10x = -18 + 0
-9 + 10x = -18

Add '9' to each side of the equation.
-9 + 9 + 10x = -18 + 9

Combine like terms: -9 + 9 = 0
0 + 10x = -18 + 9
10x = -18 + 9

Combine like terms: -18 + 9 = -9
10x = -9

Divide each side by '10'.
x = -0.9

Simplifying
x = -0.9

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