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

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


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

Reorder the terms:
3(9 + 2x) = 7(x + 4)
(9 * 3 + 2x * 3) = 7(x + 4)
(27 + 6x) = 7(x + 4)

Reorder the terms:
27 + 6x = 7(4 + x)
27 + 6x = (4 * 7 + x * 7)
27 + 6x = (28 + 7x)

Solving
27 + 6x = 28 + 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 + 6x + -7x = 28 + 7x + -7x

Combine like terms: 6x + -7x = -1x
27 + -1x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
27 + -1x = 28 + 0
27 + -1x = 28

Add '-27' to each side of the equation.
27 + -27 + -1x = 28 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 28 + -27
-1x = 28 + -27

Combine like terms: 28 + -27 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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