3(4+x)=5(x+4)+1-3x

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Solution for 3(4+x)=5(x+4)+1-3x equation: 


Simplifying
3(4 + x) = 5(x + 4) + 1 + -3x
(4 * 3 + x * 3) = 5(x + 4) + 1 + -3x
(12 + 3x) = 5(x + 4) + 1 + -3x

Reorder the terms:
12 + 3x = 5(4 + x) + 1 + -3x
12 + 3x = (4 * 5 + x * 5) + 1 + -3x
12 + 3x = (20 + 5x) + 1 + -3x

Reorder the terms:
12 + 3x = 20 + 1 + 5x + -3x

Combine like terms: 20 + 1 = 21
12 + 3x = 21 + 5x + -3x

Combine like terms: 5x + -3x = 2x
12 + 3x = 21 + 2x

Solving
12 + 3x = 21 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 3x + -2x = 21 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = 21 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = 21 + 0
12 + 1x = 21

Add '-12' to each side of the equation.
12 + -12 + 1x = 21 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 21 + -12
1x = 21 + -12

Combine like terms: 21 + -12 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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