3(x+14)=4(x+9)

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Solution for 3(x+14)=4(x+9) equation: 


Simplifying
3(x + 14) = 4(x + 9)

Reorder the terms:
3(14 + x) = 4(x + 9)
(14 * 3 + x * 3) = 4(x + 9)
(42 + 3x) = 4(x + 9)

Reorder the terms:
42 + 3x = 4(9 + x)
42 + 3x = (9 * 4 + x * 4)
42 + 3x = (36 + 4x)

Solving
42 + 3x = 36 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
42 + 3x + -4x = 36 + 4x + -4x

Combine like terms: 3x + -4x = -1x
42 + -1x = 36 + 4x + -4x

Combine like terms: 4x + -4x = 0
42 + -1x = 36 + 0
42 + -1x = 36

Add '-42' to each side of the equation.
42 + -42 + -1x = 36 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 36 + -42
-1x = 36 + -42

Combine like terms: 36 + -42 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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