11(x-2)-410=2(2x-4)

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Solution for 11(x-2)-410=2(2x-4) equation:


Simplifying
11(x + -2) + -410 = 2(2x + -4)

Reorder the terms:
11(-2 + x) + -410 = 2(2x + -4)
(-2 * 11 + x * 11) + -410 = 2(2x + -4)
(-22 + 11x) + -410 = 2(2x + -4)

Reorder the terms:
-22 + -410 + 11x = 2(2x + -4)

Combine like terms: -22 + -410 = -432
-432 + 11x = 2(2x + -4)

Reorder the terms:
-432 + 11x = 2(-4 + 2x)
-432 + 11x = (-4 * 2 + 2x * 2)
-432 + 11x = (-8 + 4x)

Solving
-432 + 11x = -8 + 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.
-432 + 11x + -4x = -8 + 4x + -4x

Combine like terms: 11x + -4x = 7x
-432 + 7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-432 + 7x = -8 + 0
-432 + 7x = -8

Add '432' to each side of the equation.
-432 + 432 + 7x = -8 + 432

Combine like terms: -432 + 432 = 0
0 + 7x = -8 + 432
7x = -8 + 432

Combine like terms: -8 + 432 = 424
7x = 424

Divide each side by '7'.
x = 60.57142857

Simplifying
x = 60.57142857

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