11x-3(5+x)=5(2x+6)

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Solution for 11x-3(5+x)=5(2x+6) equation:


Simplifying
11x + -3(5 + x) = 5(2x + 6)
11x + (5 * -3 + x * -3) = 5(2x + 6)
11x + (-15 + -3x) = 5(2x + 6)

Reorder the terms:
-15 + 11x + -3x = 5(2x + 6)

Combine like terms: 11x + -3x = 8x
-15 + 8x = 5(2x + 6)

Reorder the terms:
-15 + 8x = 5(6 + 2x)
-15 + 8x = (6 * 5 + 2x * 5)
-15 + 8x = (30 + 10x)

Solving
-15 + 8x = 30 + 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.
-15 + 8x + -10x = 30 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-15 + -2x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-15 + -2x = 30 + 0
-15 + -2x = 30

Add '15' to each side of the equation.
-15 + 15 + -2x = 30 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 30 + 15
-2x = 30 + 15

Combine like terms: 30 + 15 = 45
-2x = 45

Divide each side by '-2'.
x = -22.5

Simplifying
x = -22.5

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