2(3x-4)+6=7x+6(4-2x)

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Solution for 2(3x-4)+6=7x+6(4-2x) equation:


Simplifying
2(3x + -4) + 6 = 7x + 6(4 + -2x)

Reorder the terms:
2(-4 + 3x) + 6 = 7x + 6(4 + -2x)
(-4 * 2 + 3x * 2) + 6 = 7x + 6(4 + -2x)
(-8 + 6x) + 6 = 7x + 6(4 + -2x)

Reorder the terms:
-8 + 6 + 6x = 7x + 6(4 + -2x)

Combine like terms: -8 + 6 = -2
-2 + 6x = 7x + 6(4 + -2x)
-2 + 6x = 7x + (4 * 6 + -2x * 6)
-2 + 6x = 7x + (24 + -12x)

Reorder the terms:
-2 + 6x = 24 + 7x + -12x

Combine like terms: 7x + -12x = -5x
-2 + 6x = 24 + -5x

Solving
-2 + 6x = 24 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 6x + 5x = 24 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-2 + 11x = 24 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 11x = 24 + 0
-2 + 11x = 24

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

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

Combine like terms: 24 + 2 = 26
11x = 26

Divide each side by '11'.
x = 2.363636364

Simplifying
x = 2.363636364

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