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

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


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

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

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

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

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

Solving
-5 + 11x = 5 + 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.
-5 + 11x + -10x = 5 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-5 + 1x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + 1x = 5 + 0
-5 + 1x = 5

Add '5' to each side of the equation.
-5 + 5 + 1x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 5 + 5
1x = 5 + 5

Combine like terms: 5 + 5 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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