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

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


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

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

Combine like terms: 2 + 12 = 14
3 + 3x = 14 + 4x

Solving
3 + 3x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 3x + -4x = 14 + 4x + -4x

Combine like terms: 3x + -4x = -1x
3 + -1x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -1x = 14 + 0
3 + -1x = 14

Add '-3' to each side of the equation.
3 + -3 + -1x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 14 + -3
-1x = 14 + -3

Combine like terms: 14 + -3 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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