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

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


Simplifying
2x + 3(4 + -1x) = 3x + 2
2x + (4 * 3 + -1x * 3) = 3x + 2
2x + (12 + -3x) = 3x + 2

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

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

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

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

Combine like terms: -1x + -3x = -4x
12 + -4x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -4x = 2 + 0
12 + -4x = 2

Add '-12' to each side of the equation.
12 + -12 + -4x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 2 + -12
-4x = 2 + -12

Combine like terms: 2 + -12 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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