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

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


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

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

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

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

Solving
11 + 2x = 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.
11 + 2x + -5x = 2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
11 + -3x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -3x = 2 + 0
11 + -3x = 2

Add '-11' to each side of the equation.
11 + -11 + -3x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 2 + -11
-3x = 2 + -11

Combine like terms: 2 + -11 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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