3+4(x+2)=2x+3(x+14)

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Solution for 3+4(x+2)=2x+3(x+14) equation: 


Simplifying
3 + 4(x + 2) = 2x + 3(x + 14)

Reorder the terms:
3 + 4(2 + x) = 2x + 3(x + 14)
3 + (2 * 4 + x * 4) = 2x + 3(x + 14)
3 + (8 + 4x) = 2x + 3(x + 14)

Combine like terms: 3 + 8 = 11
11 + 4x = 2x + 3(x + 14)

Reorder the terms:
11 + 4x = 2x + 3(14 + x)
11 + 4x = 2x + (14 * 3 + x * 3)
11 + 4x = 2x + (42 + 3x)

Reorder the terms:
11 + 4x = 42 + 2x + 3x

Combine like terms: 2x + 3x = 5x
11 + 4x = 42 + 5x

Solving
11 + 4x = 42 + 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 + 4x + -5x = 42 + 5x + -5x

Combine like terms: 4x + -5x = -1x
11 + -1x = 42 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -1x = 42 + 0
11 + -1x = 42

Add '-11' to each side of the equation.
11 + -11 + -1x = 42 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 42 + -11
-1x = 42 + -11

Combine like terms: 42 + -11 = 31
-1x = 31

Divide each side by '-1'.
x = -31

Simplifying
x = -31

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