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

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


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

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

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

Solving
-6 + 4x = 6 + 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 + 4x + -12x = 6 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-6 + -8x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -8x = 6 + 0
-6 + -8x = 6

Add '6' to each side of the equation.
-6 + 6 + -8x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 6 + 6
-8x = 6 + 6

Combine like terms: 6 + 6 = 12
-8x = 12

Divide each side by '-8'.
x = -1.5

Simplifying
x = -1.5

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