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

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


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

Reorder the terms:
7(-2 + 3x) = 11(2x + -3)
(-2 * 7 + 3x * 7) = 11(2x + -3)
(-14 + 21x) = 11(2x + -3)

Reorder the terms:
-14 + 21x = 11(-3 + 2x)
-14 + 21x = (-3 * 11 + 2x * 11)
-14 + 21x = (-33 + 22x)

Solving
-14 + 21x = -33 + 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.
-14 + 21x + -22x = -33 + 22x + -22x

Combine like terms: 21x + -22x = -1x
-14 + -1x = -33 + 22x + -22x

Combine like terms: 22x + -22x = 0
-14 + -1x = -33 + 0
-14 + -1x = -33

Add '14' to each side of the equation.
-14 + 14 + -1x = -33 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = -33 + 14
-1x = -33 + 14

Combine like terms: -33 + 14 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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