3(4x-6)-(5x+4)=2x

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Solution for 3(4x-6)-(5x+4)=2x equation:


Simplifying
3(4x + -6) + -1(5x + 4) = 2x

Reorder the terms:
3(-6 + 4x) + -1(5x + 4) = 2x
(-6 * 3 + 4x * 3) + -1(5x + 4) = 2x
(-18 + 12x) + -1(5x + 4) = 2x

Reorder the terms:
-18 + 12x + -1(4 + 5x) = 2x
-18 + 12x + (4 * -1 + 5x * -1) = 2x
-18 + 12x + (-4 + -5x) = 2x

Reorder the terms:
-18 + -4 + 12x + -5x = 2x

Combine like terms: -18 + -4 = -22
-22 + 12x + -5x = 2x

Combine like terms: 12x + -5x = 7x
-22 + 7x = 2x

Solving
-22 + 7x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-22 + 7x + -2x = 2x + -2x

Combine like terms: 7x + -2x = 5x
-22 + 5x = 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 5x = 0

Add '22' to each side of the equation.
-22 + 22 + 5x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = 0 + 22
5x = 0 + 22

Combine like terms: 0 + 22 = 22
5x = 22

Divide each side by '5'.
x = 4.4

Simplifying
x = 4.4

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