11x-2=2(5x+3)-4

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Solution for 11x-2=2(5x+3)-4 equation:


Simplifying
11x + -2 = 2(5x + 3) + -4

Reorder the terms:
-2 + 11x = 2(5x + 3) + -4

Reorder the terms:
-2 + 11x = 2(3 + 5x) + -4
-2 + 11x = (3 * 2 + 5x * 2) + -4
-2 + 11x = (6 + 10x) + -4

Reorder the terms:
-2 + 11x = 6 + -4 + 10x

Combine like terms: 6 + -4 = 2
-2 + 11x = 2 + 10x

Solving
-2 + 11x = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-2 + 11x + -10x = 2 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-2 + 1x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2 + 1x = 2 + 0
-2 + 1x = 2

Add '2' to each side of the equation.
-2 + 2 + 1x = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 2 + 2
1x = 2 + 2

Combine like terms: 2 + 2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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