(3x-24)+(4x+11)=2x

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Solution for (3x-24)+(4x+11)=2x equation:


Simplifying
(3x + -24) + (4x + 11) = 2x

Reorder the terms:
(-24 + 3x) + (4x + 11) = 2x

Remove parenthesis around (-24 + 3x)
-24 + 3x + (4x + 11) = 2x

Reorder the terms:
-24 + 3x + (11 + 4x) = 2x

Remove parenthesis around (11 + 4x)
-24 + 3x + 11 + 4x = 2x

Reorder the terms:
-24 + 11 + 3x + 4x = 2x

Combine like terms: -24 + 11 = -13
-13 + 3x + 4x = 2x

Combine like terms: 3x + 4x = 7x
-13 + 7x = 2x

Solving
-13 + 7x = 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.
-13 + 7x + -2x = 2x + -2x

Combine like terms: 7x + -2x = 5x
-13 + 5x = 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 5x = 0

Add '13' to each side of the equation.
-13 + 13 + 5x = 0 + 13

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

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

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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