5x-4(6-3x)=11+2x

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Solution for 5x-4(6-3x)=11+2x equation:


Simplifying
5x + -4(6 + -3x) = 11 + 2x
5x + (6 * -4 + -3x * -4) = 11 + 2x
5x + (-24 + 12x) = 11 + 2x

Reorder the terms:
-24 + 5x + 12x = 11 + 2x

Combine like terms: 5x + 12x = 17x
-24 + 17x = 11 + 2x

Solving
-24 + 17x = 11 + 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.
-24 + 17x + -2x = 11 + 2x + -2x

Combine like terms: 17x + -2x = 15x
-24 + 15x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 15x = 11 + 0
-24 + 15x = 11

Add '24' to each side of the equation.
-24 + 24 + 15x = 11 + 24

Combine like terms: -24 + 24 = 0
0 + 15x = 11 + 24
15x = 11 + 24

Combine like terms: 11 + 24 = 35
15x = 35

Divide each side by '15'.
x = 2.333333333

Simplifying
x = 2.333333333

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