7(5x-4)=11(4x-5)

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Solution for 7(5x-4)=11(4x-5) equation:


Simplifying
7(5x + -4) = 11(4x + -5)

Reorder the terms:
7(-4 + 5x) = 11(4x + -5)
(-4 * 7 + 5x * 7) = 11(4x + -5)
(-28 + 35x) = 11(4x + -5)

Reorder the terms:
-28 + 35x = 11(-5 + 4x)
-28 + 35x = (-5 * 11 + 4x * 11)
-28 + 35x = (-55 + 44x)

Solving
-28 + 35x = -55 + 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
-28 + 35x + -44x = -55 + 44x + -44x

Combine like terms: 35x + -44x = -9x
-28 + -9x = -55 + 44x + -44x

Combine like terms: 44x + -44x = 0
-28 + -9x = -55 + 0
-28 + -9x = -55

Add '28' to each side of the equation.
-28 + 28 + -9x = -55 + 28

Combine like terms: -28 + 28 = 0
0 + -9x = -55 + 28
-9x = -55 + 28

Combine like terms: -55 + 28 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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