11(4x-2)=42x-2

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Solution for 11(4x-2)=42x-2 equation:


Simplifying
11(4x + -2) = 42x + -2

Reorder the terms:
11(-2 + 4x) = 42x + -2
(-2 * 11 + 4x * 11) = 42x + -2
(-22 + 44x) = 42x + -2

Reorder the terms:
-22 + 44x = -2 + 42x

Solving
-22 + 44x = -2 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
-22 + 44x + -42x = -2 + 42x + -42x

Combine like terms: 44x + -42x = 2x
-22 + 2x = -2 + 42x + -42x

Combine like terms: 42x + -42x = 0
-22 + 2x = -2 + 0
-22 + 2x = -2

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

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

Combine like terms: -2 + 22 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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