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

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


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

Reorder the terms:
2(-1 + 7x) = 3(5 + -1x)
(-1 * 2 + 7x * 2) = 3(5 + -1x)
(-2 + 14x) = 3(5 + -1x)
-2 + 14x = (5 * 3 + -1x * 3)
-2 + 14x = (15 + -3x)

Solving
-2 + 14x = 15 + -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.
-2 + 14x + 3x = 15 + -3x + 3x

Combine like terms: 14x + 3x = 17x
-2 + 17x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 17x = 15 + 0
-2 + 17x = 15

Add '2' to each side of the equation.
-2 + 2 + 17x = 15 + 2

Combine like terms: -2 + 2 = 0
0 + 17x = 15 + 2
17x = 15 + 2

Combine like terms: 15 + 2 = 17
17x = 17

Divide each side by '17'.
x = 1

Simplifying
x = 1

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