3x-11=4(x+6)

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


Simplifying
3x + -11 = 4(x + 6)

Reorder the terms:
-11 + 3x = 4(x + 6)

Reorder the terms:
-11 + 3x = 4(6 + x)
-11 + 3x = (6 * 4 + x * 4)
-11 + 3x = (24 + 4x)

Solving
-11 + 3x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-11 + 3x + -4x = 24 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-11 + -1x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + -1x = 24 + 0
-11 + -1x = 24

Add '11' to each side of the equation.
-11 + 11 + -1x = 24 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 24 + 11
-1x = 24 + 11

Combine like terms: 24 + 11 = 35
-1x = 35

Divide each side by '-1'.
x = -35

Simplifying
x = -35

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