3(x+7)=5(x+4)+11

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Solution for 3(x+7)=5(x+4)+11 equation:


Simplifying
3(x + 7) = 5(x + 4) + 11

Reorder the terms:
3(7 + x) = 5(x + 4) + 11
(7 * 3 + x * 3) = 5(x + 4) + 11
(21 + 3x) = 5(x + 4) + 11

Reorder the terms:
21 + 3x = 5(4 + x) + 11
21 + 3x = (4 * 5 + x * 5) + 11
21 + 3x = (20 + 5x) + 11

Reorder the terms:
21 + 3x = 20 + 11 + 5x

Combine like terms: 20 + 11 = 31
21 + 3x = 31 + 5x

Solving
21 + 3x = 31 + 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.
21 + 3x + -5x = 31 + 5x + -5x

Combine like terms: 3x + -5x = -2x
21 + -2x = 31 + 5x + -5x

Combine like terms: 5x + -5x = 0
21 + -2x = 31 + 0
21 + -2x = 31

Add '-21' to each side of the equation.
21 + -21 + -2x = 31 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = 31 + -21
-2x = 31 + -21

Combine like terms: 31 + -21 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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