2x+1=3(x-4)+9

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Solution for 2x+1=3(x-4)+9 equation: 


Simplifying
2x + 1 = 3(x + -4) + 9

Reorder the terms:
1 + 2x = 3(x + -4) + 9

Reorder the terms:
1 + 2x = 3(-4 + x) + 9
1 + 2x = (-4 * 3 + x * 3) + 9
1 + 2x = (-12 + 3x) + 9

Reorder the terms:
1 + 2x = -12 + 9 + 3x

Combine like terms: -12 + 9 = -3
1 + 2x = -3 + 3x

Solving
1 + 2x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 2x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + -1x = -3 + 0
1 + -1x = -3

Add '-1' to each side of the equation.
1 + -1 + -1x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -3 + -1
-1x = -3 + -1

Combine like terms: -3 + -1 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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