4x+2(2x-6)=3(4x-1)

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Solution for 4x+2(2x-6)=3(4x-1) equation:


Simplifying
4x + 2(2x + -6) = 3(4x + -1)

Reorder the terms:
4x + 2(-6 + 2x) = 3(4x + -1)
4x + (-6 * 2 + 2x * 2) = 3(4x + -1)
4x + (-12 + 4x) = 3(4x + -1)

Reorder the terms:
-12 + 4x + 4x = 3(4x + -1)

Combine like terms: 4x + 4x = 8x
-12 + 8x = 3(4x + -1)

Reorder the terms:
-12 + 8x = 3(-1 + 4x)
-12 + 8x = (-1 * 3 + 4x * 3)
-12 + 8x = (-3 + 12x)

Solving
-12 + 8x = -3 + 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.
-12 + 8x + -12x = -3 + 12x + -12x

Combine like terms: 8x + -12x = -4x
-12 + -4x = -3 + 12x + -12x

Combine like terms: 12x + -12x = 0
-12 + -4x = -3 + 0
-12 + -4x = -3

Add '12' to each side of the equation.
-12 + 12 + -4x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + -4x = -3 + 12
-4x = -3 + 12

Combine like terms: -3 + 12 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

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