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

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


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

Reorder the terms:
7(-5 + 3x) = 5(4x + -5)
(-5 * 7 + 3x * 7) = 5(4x + -5)
(-35 + 21x) = 5(4x + -5)

Reorder the terms:
-35 + 21x = 5(-5 + 4x)
-35 + 21x = (-5 * 5 + 4x * 5)
-35 + 21x = (-25 + 20x)

Solving
-35 + 21x = -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.
-35 + 21x + -20x = -25 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-35 + 1x = -25 + 20x + -20x

Combine like terms: 20x + -20x = 0
-35 + 1x = -25 + 0
-35 + 1x = -25

Add '35' to each side of the equation.
-35 + 35 + 1x = -25 + 35

Combine like terms: -35 + 35 = 0
0 + 1x = -25 + 35
1x = -25 + 35

Combine like terms: -25 + 35 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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