6(3-x)=4(2x-1)

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Solution for 6(3-x)=4(2x-1) equation:


Simplifying
6(3 + -1x) = 4(2x + -1)
(3 * 6 + -1x * 6) = 4(2x + -1)
(18 + -6x) = 4(2x + -1)

Reorder the terms:
18 + -6x = 4(-1 + 2x)
18 + -6x = (-1 * 4 + 2x * 4)
18 + -6x = (-4 + 8x)

Solving
18 + -6x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + -6x + -8x = -4 + 8x + -8x

Combine like terms: -6x + -8x = -14x
18 + -14x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -14x = -4 + 0
18 + -14x = -4

Add '-18' to each side of the equation.
18 + -18 + -14x = -4 + -18

Combine like terms: 18 + -18 = 0
0 + -14x = -4 + -18
-14x = -4 + -18

Combine like terms: -4 + -18 = -22
-14x = -22

Divide each side by '-14'.
x = 1.571428571

Simplifying
x = 1.571428571

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