3x+4(2x+3)=5x+2

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Solution for 3x+4(2x+3)=5x+2 equation:


Simplifying
3x + 4(2x + 3) = 5x + 2

Reorder the terms:
3x + 4(3 + 2x) = 5x + 2
3x + (3 * 4 + 2x * 4) = 5x + 2
3x + (12 + 8x) = 5x + 2

Reorder the terms:
12 + 3x + 8x = 5x + 2

Combine like terms: 3x + 8x = 11x
12 + 11x = 5x + 2

Reorder the terms:
12 + 11x = 2 + 5x

Solving
12 + 11x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 11x + -5x = 2 + 5x + -5x

Combine like terms: 11x + -5x = 6x
12 + 6x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 6x = 2 + 0
12 + 6x = 2

Add '-12' to each side of the equation.
12 + -12 + 6x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 2 + -12
6x = 2 + -12

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

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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