7(3x-5)=11(2x-4)

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Solution for 7(3x-5)=11(2x-4) equation:


Simplifying
7(3x + -5) = 11(2x + -4)

Reorder the terms:
7(-5 + 3x) = 11(2x + -4)
(-5 * 7 + 3x * 7) = 11(2x + -4)
(-35 + 21x) = 11(2x + -4)

Reorder the terms:
-35 + 21x = 11(-4 + 2x)
-35 + 21x = (-4 * 11 + 2x * 11)
-35 + 21x = (-44 + 22x)

Solving
-35 + 21x = -44 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-35 + 21x + -22x = -44 + 22x + -22x

Combine like terms: 21x + -22x = -1x
-35 + -1x = -44 + 22x + -22x

Combine like terms: 22x + -22x = 0
-35 + -1x = -44 + 0
-35 + -1x = -44

Add '35' to each side of the equation.
-35 + 35 + -1x = -44 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = -44 + 35
-1x = -44 + 35

Combine like terms: -44 + 35 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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