3(x+9)=7(x+1)

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Solution for 3(x+9)=7(x+1) equation:


Simplifying
3(x + 9) = 7(x + 1)

Reorder the terms:
3(9 + x) = 7(x + 1)
(9 * 3 + x * 3) = 7(x + 1)
(27 + 3x) = 7(x + 1)

Reorder the terms:
27 + 3x = 7(1 + x)
27 + 3x = (1 * 7 + x * 7)
27 + 3x = (7 + 7x)

Solving
27 + 3x = 7 + 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.
27 + 3x + -7x = 7 + 7x + -7x

Combine like terms: 3x + -7x = -4x
27 + -4x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
27 + -4x = 7 + 0
27 + -4x = 7

Add '-27' to each side of the equation.
27 + -27 + -4x = 7 + -27

Combine like terms: 27 + -27 = 0
0 + -4x = 7 + -27
-4x = 7 + -27

Combine like terms: 7 + -27 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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