3(x+9)+2(3x+4)=7(x+11)

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Solution for 3(x+9)+2(3x+4)=7(x+11) equation:


Simplifying
3(x + 9) + 2(3x + 4) = 7(x + 11)

Reorder the terms:
3(9 + x) + 2(3x + 4) = 7(x + 11)
(9 * 3 + x * 3) + 2(3x + 4) = 7(x + 11)
(27 + 3x) + 2(3x + 4) = 7(x + 11)

Reorder the terms:
27 + 3x + 2(4 + 3x) = 7(x + 11)
27 + 3x + (4 * 2 + 3x * 2) = 7(x + 11)
27 + 3x + (8 + 6x) = 7(x + 11)

Reorder the terms:
27 + 8 + 3x + 6x = 7(x + 11)

Combine like terms: 27 + 8 = 35
35 + 3x + 6x = 7(x + 11)

Combine like terms: 3x + 6x = 9x
35 + 9x = 7(x + 11)

Reorder the terms:
35 + 9x = 7(11 + x)
35 + 9x = (11 * 7 + x * 7)
35 + 9x = (77 + 7x)

Solving
35 + 9x = 77 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
35 + 9x + -7x = 77 + 7x + -7x

Combine like terms: 9x + -7x = 2x
35 + 2x = 77 + 7x + -7x

Combine like terms: 7x + -7x = 0
35 + 2x = 77 + 0
35 + 2x = 77

Add '-35' to each side of the equation.
35 + -35 + 2x = 77 + -35

Combine like terms: 35 + -35 = 0
0 + 2x = 77 + -35
2x = 77 + -35

Combine like terms: 77 + -35 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21

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