3(x+4)=9x+10

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Solution for 3(x+4)=9x+10 equation:


Simplifying
3(x + 4) = 9x + 10

Reorder the terms:
3(4 + x) = 9x + 10
(4 * 3 + x * 3) = 9x + 10
(12 + 3x) = 9x + 10

Reorder the terms:
12 + 3x = 10 + 9x

Solving
12 + 3x = 10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
12 + 3x + -9x = 10 + 9x + -9x

Combine like terms: 3x + -9x = -6x
12 + -6x = 10 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -6x = 10 + 0
12 + -6x = 10

Add '-12' to each side of the equation.
12 + -12 + -6x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = 10 + -12
-6x = 10 + -12

Combine like terms: 10 + -12 = -2
-6x = -2

Divide each side by '-6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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