3(2x-7)=5(4-x)

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Solution for 3(2x-7)=5(4-x) equation:


Simplifying
3(2x + -7) = 5(4 + -1x)

Reorder the terms:
3(-7 + 2x) = 5(4 + -1x)
(-7 * 3 + 2x * 3) = 5(4 + -1x)
(-21 + 6x) = 5(4 + -1x)
-21 + 6x = (4 * 5 + -1x * 5)
-21 + 6x = (20 + -5x)

Solving
-21 + 6x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-21 + 6x + 5x = 20 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-21 + 11x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-21 + 11x = 20 + 0
-21 + 11x = 20

Add '21' to each side of the equation.
-21 + 21 + 11x = 20 + 21

Combine like terms: -21 + 21 = 0
0 + 11x = 20 + 21
11x = 20 + 21

Combine like terms: 20 + 21 = 41
11x = 41

Divide each side by '11'.
x = 3.727272727

Simplifying
x = 3.727272727

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