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

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


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

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

Reorder the terms:
-12 + 4x = 3(-2 + 3x)
-12 + 4x = (-2 * 3 + 3x * 3)
-12 + 4x = (-6 + 9x)

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

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-12 + 4x + -9x = -6 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-12 + -5x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-12 + -5x = -6 + 0
-12 + -5x = -6

Add '12' to each side of the equation.
-12 + 12 + -5x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = -6 + 12
-5x = -6 + 12

Combine like terms: -6 + 12 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

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