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

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


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

Reorder the terms:
-6 + 2x = 4(3x + 11)

Reorder the terms:
-6 + 2x = 4(11 + 3x)
-6 + 2x = (11 * 4 + 3x * 4)
-6 + 2x = (44 + 12x)

Solving
-6 + 2x = 44 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 2x + -12x = 44 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-6 + -10x = 44 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -10x = 44 + 0
-6 + -10x = 44

Add '6' to each side of the equation.
-6 + 6 + -10x = 44 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = 44 + 6
-10x = 44 + 6

Combine like terms: 44 + 6 = 50
-10x = 50

Divide each side by '-10'.
x = -5

Simplifying
x = -5

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