4(x-6)=2x+11

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


Simplifying
4(x + -6) = 2x + 11

Reorder the terms:
4(-6 + x) = 2x + 11
(-6 * 4 + x * 4) = 2x + 11
(-24 + 4x) = 2x + 11

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

Solving
-24 + 4x = 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 + 4x + -2x = 11 + 2x + -2x

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

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

Add '24' to each side of the equation.
-24 + 24 + 2x = 11 + 24

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

Combine like terms: 11 + 24 = 35
2x = 35

Divide each side by '2'.
x = 17.5

Simplifying
x = 17.5

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