5+3(x+4)=7+4x+x

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Solution for 5+3(x+4)=7+4x+x equation:


Simplifying
5 + 3(x + 4) = 7 + 4x + x

Reorder the terms:
5 + 3(4 + x) = 7 + 4x + x
5 + (4 * 3 + x * 3) = 7 + 4x + x
5 + (12 + 3x) = 7 + 4x + x

Combine like terms: 5 + 12 = 17
17 + 3x = 7 + 4x + x

Combine like terms: 4x + x = 5x
17 + 3x = 7 + 5x

Solving
17 + 3x = 7 + 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.
17 + 3x + -5x = 7 + 5x + -5x

Combine like terms: 3x + -5x = -2x
17 + -2x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -2x = 7 + 0
17 + -2x = 7

Add '-17' to each side of the equation.
17 + -17 + -2x = 7 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 7 + -17
-2x = 7 + -17

Combine like terms: 7 + -17 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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