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

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


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

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

Reorder the terms:
-2 + 10x = 7(-5 + 3x)
-2 + 10x = (-5 * 7 + 3x * 7)
-2 + 10x = (-35 + 21x)

Solving
-2 + 10x = -35 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-2 + 10x + -21x = -35 + 21x + -21x

Combine like terms: 10x + -21x = -11x
-2 + -11x = -35 + 21x + -21x

Combine like terms: 21x + -21x = 0
-2 + -11x = -35 + 0
-2 + -11x = -35

Add '2' to each side of the equation.
-2 + 2 + -11x = -35 + 2

Combine like terms: -2 + 2 = 0
0 + -11x = -35 + 2
-11x = -35 + 2

Combine like terms: -35 + 2 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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