3+4(2-x)=3x+(-x-7)

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Solution for 3+4(2-x)=3x+(-x-7) equation: 


Simplifying
3 + 4(2 + -1x) = 3x + (-1x + -7)
3 + (2 * 4 + -1x * 4) = 3x + (-1x + -7)
3 + (8 + -4x) = 3x + (-1x + -7)

Combine like terms: 3 + 8 = 11
11 + -4x = 3x + (-1x + -7)

Reorder the terms:
11 + -4x = 3x + (-7 + -1x)

Remove parenthesis around (-7 + -1x)
11 + -4x = 3x + -7 + -1x

Reorder the terms:
11 + -4x = -7 + 3x + -1x

Combine like terms: 3x + -1x = 2x
11 + -4x = -7 + 2x

Solving
11 + -4x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + -4x + -2x = -7 + 2x + -2x

Combine like terms: -4x + -2x = -6x
11 + -6x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -6x = -7 + 0
11 + -6x = -7

Add '-11' to each side of the equation.
11 + -11 + -6x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = -7 + -11
-6x = -7 + -11

Combine like terms: -7 + -11 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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