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

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


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

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

Reorder the terms:
-3 + 11x = 2(4 + 5x) + -5
-3 + 11x = (4 * 2 + 5x * 2) + -5
-3 + 11x = (8 + 10x) + -5

Reorder the terms:
-3 + 11x = 8 + -5 + 10x

Combine like terms: 8 + -5 = 3
-3 + 11x = 3 + 10x

Solving
-3 + 11x = 3 + 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.
-3 + 11x + -10x = 3 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-3 + 1x = 3 + 10x + -10x

Combine like terms: 10x + -10x = 0
-3 + 1x = 3 + 0
-3 + 1x = 3

Add '3' to each side of the equation.
-3 + 3 + 1x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 3 + 3
1x = 3 + 3

Combine like terms: 3 + 3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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