11x-2(x+3)=5x+10

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Solution for 11x-2(x+3)=5x+10 equation:


Simplifying
11x + -2(x + 3) = 5x + 10

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

Reorder the terms:
-6 + 11x + -2x = 5x + 10

Combine like terms: 11x + -2x = 9x
-6 + 9x = 5x + 10

Reorder the terms:
-6 + 9x = 10 + 5x

Solving
-6 + 9x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 9x + -5x = 10 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-6 + 4x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 4x = 10 + 0
-6 + 4x = 10

Add '6' to each side of the equation.
-6 + 6 + 4x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 10 + 6
4x = 10 + 6

Combine like terms: 10 + 6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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