(3x+2)=14(2x-3)

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Solution for (3x+2)=14(2x-3) equation:


Simplifying
(3x + 2) = 14(2x + -3)

Reorder the terms:
(2 + 3x) = 14(2x + -3)

Remove parenthesis around (2 + 3x)
2 + 3x = 14(2x + -3)

Reorder the terms:
2 + 3x = 14(-3 + 2x)
2 + 3x = (-3 * 14 + 2x * 14)
2 + 3x = (-42 + 28x)

Solving
2 + 3x = -42 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
2 + 3x + -28x = -42 + 28x + -28x

Combine like terms: 3x + -28x = -25x
2 + -25x = -42 + 28x + -28x

Combine like terms: 28x + -28x = 0
2 + -25x = -42 + 0
2 + -25x = -42

Add '-2' to each side of the equation.
2 + -2 + -25x = -42 + -2

Combine like terms: 2 + -2 = 0
0 + -25x = -42 + -2
-25x = -42 + -2

Combine like terms: -42 + -2 = -44
-25x = -44

Divide each side by '-25'.
x = 1.76

Simplifying
x = 1.76

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