4(5x-6)+2=12x-2(4x-11)

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Solution for 4(5x-6)+2=12x-2(4x-11) equation:


Simplifying
4(5x + -6) + 2 = 12x + -2(4x + -11)

Reorder the terms:
4(-6 + 5x) + 2 = 12x + -2(4x + -11)
(-6 * 4 + 5x * 4) + 2 = 12x + -2(4x + -11)
(-24 + 20x) + 2 = 12x + -2(4x + -11)

Reorder the terms:
-24 + 2 + 20x = 12x + -2(4x + -11)

Combine like terms: -24 + 2 = -22
-22 + 20x = 12x + -2(4x + -11)

Reorder the terms:
-22 + 20x = 12x + -2(-11 + 4x)
-22 + 20x = 12x + (-11 * -2 + 4x * -2)
-22 + 20x = 12x + (22 + -8x)

Reorder the terms:
-22 + 20x = 22 + 12x + -8x

Combine like terms: 12x + -8x = 4x
-22 + 20x = 22 + 4x

Solving
-22 + 20x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-22 + 20x + -4x = 22 + 4x + -4x

Combine like terms: 20x + -4x = 16x
-22 + 16x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-22 + 16x = 22 + 0
-22 + 16x = 22

Add '22' to each side of the equation.
-22 + 22 + 16x = 22 + 22

Combine like terms: -22 + 22 = 0
0 + 16x = 22 + 22
16x = 22 + 22

Combine like terms: 22 + 22 = 44
16x = 44

Divide each side by '16'.
x = 2.75

Simplifying
x = 2.75

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