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

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


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

Reorder the terms:
3(4 + 3x) = 2(7x + 2)
(4 * 3 + 3x * 3) = 2(7x + 2)
(12 + 9x) = 2(7x + 2)

Reorder the terms:
12 + 9x = 2(2 + 7x)
12 + 9x = (2 * 2 + 7x * 2)
12 + 9x = (4 + 14x)

Solving
12 + 9x = 4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
12 + 9x + -14x = 4 + 14x + -14x

Combine like terms: 9x + -14x = -5x
12 + -5x = 4 + 14x + -14x

Combine like terms: 14x + -14x = 0
12 + -5x = 4 + 0
12 + -5x = 4

Add '-12' to each side of the equation.
12 + -12 + -5x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 4 + -12
-5x = 4 + -12

Combine like terms: 4 + -12 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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