7(2x-1)=5(4x-5)

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Solution for 7(2x-1)=5(4x-5) equation:


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

Reorder the terms:
7(-1 + 2x) = 5(4x + -5)
(-1 * 7 + 2x * 7) = 5(4x + -5)
(-7 + 14x) = 5(4x + -5)

Reorder the terms:
-7 + 14x = 5(-5 + 4x)
-7 + 14x = (-5 * 5 + 4x * 5)
-7 + 14x = (-25 + 20x)

Solving
-7 + 14x = -25 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-7 + 14x + -20x = -25 + 20x + -20x

Combine like terms: 14x + -20x = -6x
-7 + -6x = -25 + 20x + -20x

Combine like terms: 20x + -20x = 0
-7 + -6x = -25 + 0
-7 + -6x = -25

Add '7' to each side of the equation.
-7 + 7 + -6x = -25 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = -25 + 7
-6x = -25 + 7

Combine like terms: -25 + 7 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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