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

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


Simplifying
3(2 + -1x) = 4(x + -3)
(2 * 3 + -1x * 3) = 4(x + -3)
(6 + -3x) = 4(x + -3)

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

Solving
6 + -3x = -12 + 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.
6 + -3x + -4x = -12 + 4x + -4x

Combine like terms: -3x + -4x = -7x
6 + -7x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -7x = -12 + 0
6 + -7x = -12

Add '-6' to each side of the equation.
6 + -6 + -7x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -12 + -6
-7x = -12 + -6

Combine like terms: -12 + -6 = -18
-7x = -18

Divide each side by '-7'.
x = 2.571428571

Simplifying
x = 2.571428571

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