2(6x-4)-(4x-6)=22-(-3x-2)

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Solution for 2(6x-4)-(4x-6)=22-(-3x-2) equation:


Simplifying
2(6x + -4) + -1(4x + -6) = 22 + -1(-3x + -2)

Reorder the terms:
2(-4 + 6x) + -1(4x + -6) = 22 + -1(-3x + -2)
(-4 * 2 + 6x * 2) + -1(4x + -6) = 22 + -1(-3x + -2)
(-8 + 12x) + -1(4x + -6) = 22 + -1(-3x + -2)

Reorder the terms:
-8 + 12x + -1(-6 + 4x) = 22 + -1(-3x + -2)
-8 + 12x + (-6 * -1 + 4x * -1) = 22 + -1(-3x + -2)
-8 + 12x + (6 + -4x) = 22 + -1(-3x + -2)

Reorder the terms:
-8 + 6 + 12x + -4x = 22 + -1(-3x + -2)

Combine like terms: -8 + 6 = -2
-2 + 12x + -4x = 22 + -1(-3x + -2)

Combine like terms: 12x + -4x = 8x
-2 + 8x = 22 + -1(-3x + -2)

Reorder the terms:
-2 + 8x = 22 + -1(-2 + -3x)
-2 + 8x = 22 + (-2 * -1 + -3x * -1)
-2 + 8x = 22 + (2 + 3x)

Combine like terms: 22 + 2 = 24
-2 + 8x = 24 + 3x

Solving
-2 + 8x = 24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 8x + -3x = 24 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-2 + 5x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 5x = 24 + 0
-2 + 5x = 24

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

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

Combine like terms: 24 + 2 = 26
5x = 26

Divide each side by '5'.
x = 5.2

Simplifying
x = 5.2

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