3(2x-1)=4(5-x)

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Solution for 3(2x-1)=4(5-x) equation:


Simplifying
3(2x + -1) = 4(5 + -1x)

Reorder the terms:
3(-1 + 2x) = 4(5 + -1x)
(-1 * 3 + 2x * 3) = 4(5 + -1x)
(-3 + 6x) = 4(5 + -1x)
-3 + 6x = (5 * 4 + -1x * 4)
-3 + 6x = (20 + -4x)

Solving
-3 + 6x = 20 + -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.
-3 + 6x + 4x = 20 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-3 + 10x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 10x = 20 + 0
-3 + 10x = 20

Add '3' to each side of the equation.
-3 + 3 + 10x = 20 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 20 + 3
10x = 20 + 3

Combine like terms: 20 + 3 = 23
10x = 23

Divide each side by '10'.
x = 2.3

Simplifying
x = 2.3

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