3x+11=5(x+10)

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


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

Reorder the terms:
11 + 3x = 5(x + 10)

Reorder the terms:
11 + 3x = 5(10 + x)
11 + 3x = (10 * 5 + x * 5)
11 + 3x = (50 + 5x)

Solving
11 + 3x = 50 + 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.
11 + 3x + -5x = 50 + 5x + -5x

Combine like terms: 3x + -5x = -2x
11 + -2x = 50 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -2x = 50 + 0
11 + -2x = 50

Add '-11' to each side of the equation.
11 + -11 + -2x = 50 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 50 + -11
-2x = 50 + -11

Combine like terms: 50 + -11 = 39
-2x = 39

Divide each side by '-2'.
x = -19.5

Simplifying
x = -19.5

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