5(2x-1)=3(7-x)

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Solution for 5(2x-1)=3(7-x) equation:


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

Reorder the terms:
5(-1 + 2x) = 3(7 + -1x)
(-1 * 5 + 2x * 5) = 3(7 + -1x)
(-5 + 10x) = 3(7 + -1x)
-5 + 10x = (7 * 3 + -1x * 3)
-5 + 10x = (21 + -3x)

Solving
-5 + 10x = 21 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-5 + 10x + 3x = 21 + -3x + 3x

Combine like terms: 10x + 3x = 13x
-5 + 13x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 13x = 21 + 0
-5 + 13x = 21

Add '5' to each side of the equation.
-5 + 5 + 13x = 21 + 5

Combine like terms: -5 + 5 = 0
0 + 13x = 21 + 5
13x = 21 + 5

Combine like terms: 21 + 5 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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