2x+1=3(4-x)

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


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

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

Solving
1 + 2x = 12 + -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 = 12 + -3x + 3x

Combine like terms: 2x + 3x = 5x
1 + 5x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 5x = 12 + 0
1 + 5x = 12

Add '-1' to each side of the equation.
1 + -1 + 5x = 12 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 12 + -1
5x = 12 + -1

Combine like terms: 12 + -1 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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