2+3(4+x)=1-5(6-x)

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Solution for 2+3(4+x)=1-5(6-x) equation: 


Simplifying
2 + 3(4 + x) = 1 + -5(6 + -1x)
2 + (4 * 3 + x * 3) = 1 + -5(6 + -1x)
2 + (12 + 3x) = 1 + -5(6 + -1x)

Combine like terms: 2 + 12 = 14
14 + 3x = 1 + -5(6 + -1x)
14 + 3x = 1 + (6 * -5 + -1x * -5)
14 + 3x = 1 + (-30 + 5x)

Combine like terms: 1 + -30 = -29
14 + 3x = -29 + 5x

Solving
14 + 3x = -29 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 3x + -5x = -29 + 5x + -5x

Combine like terms: 3x + -5x = -2x
14 + -2x = -29 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -2x = -29 + 0
14 + -2x = -29

Add '-14' to each side of the equation.
14 + -14 + -2x = -29 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -29 + -14
-2x = -29 + -14

Combine like terms: -29 + -14 = -43
-2x = -43

Divide each side by '-2'.
x = 21.5

Simplifying
x = 21.5

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