22x-3(6x+11)=2x+13

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Solution for 22x-3(6x+11)=2x+13 equation:


Simplifying
22x + -3(6x + 11) = 2x + 13

Reorder the terms:
22x + -3(11 + 6x) = 2x + 13
22x + (11 * -3 + 6x * -3) = 2x + 13
22x + (-33 + -18x) = 2x + 13

Reorder the terms:
-33 + 22x + -18x = 2x + 13

Combine like terms: 22x + -18x = 4x
-33 + 4x = 2x + 13

Reorder the terms:
-33 + 4x = 13 + 2x

Solving
-33 + 4x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-33 + 4x + -2x = 13 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-33 + 2x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-33 + 2x = 13 + 0
-33 + 2x = 13

Add '33' to each side of the equation.
-33 + 33 + 2x = 13 + 33

Combine like terms: -33 + 33 = 0
0 + 2x = 13 + 33
2x = 13 + 33

Combine like terms: 13 + 33 = 46
2x = 46

Divide each side by '2'.
x = 23

Simplifying
x = 23

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