3(11x-7)=5(4x+1)

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Solution for 3(11x-7)=5(4x+1) equation:


Simplifying
3(11x + -7) = 5(4x + 1)

Reorder the terms:
3(-7 + 11x) = 5(4x + 1)
(-7 * 3 + 11x * 3) = 5(4x + 1)
(-21 + 33x) = 5(4x + 1)

Reorder the terms:
-21 + 33x = 5(1 + 4x)
-21 + 33x = (1 * 5 + 4x * 5)
-21 + 33x = (5 + 20x)

Solving
-21 + 33x = 5 + 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.
-21 + 33x + -20x = 5 + 20x + -20x

Combine like terms: 33x + -20x = 13x
-21 + 13x = 5 + 20x + -20x

Combine like terms: 20x + -20x = 0
-21 + 13x = 5 + 0
-21 + 13x = 5

Add '21' to each side of the equation.
-21 + 21 + 13x = 5 + 21

Combine like terms: -21 + 21 = 0
0 + 13x = 5 + 21
13x = 5 + 21

Combine like terms: 5 + 21 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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