11x-7(3-3x)=2(6x-8)

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Solution for 11x-7(3-3x)=2(6x-8) equation:


Simplifying
11x + -7(3 + -3x) = 2(6x + -8)
11x + (3 * -7 + -3x * -7) = 2(6x + -8)
11x + (-21 + 21x) = 2(6x + -8)

Reorder the terms:
-21 + 11x + 21x = 2(6x + -8)

Combine like terms: 11x + 21x = 32x
-21 + 32x = 2(6x + -8)

Reorder the terms:
-21 + 32x = 2(-8 + 6x)
-21 + 32x = (-8 * 2 + 6x * 2)
-21 + 32x = (-16 + 12x)

Solving
-21 + 32x = -16 + 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.
-21 + 32x + -12x = -16 + 12x + -12x

Combine like terms: 32x + -12x = 20x
-21 + 20x = -16 + 12x + -12x

Combine like terms: 12x + -12x = 0
-21 + 20x = -16 + 0
-21 + 20x = -16

Add '21' to each side of the equation.
-21 + 21 + 20x = -16 + 21

Combine like terms: -21 + 21 = 0
0 + 20x = -16 + 21
20x = -16 + 21

Combine like terms: -16 + 21 = 5
20x = 5

Divide each side by '20'.
x = 0.25

Simplifying
x = 0.25

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