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

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


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

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

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

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

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

Solving
11 + -4x = -7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
11 + -4x + -1x = -7 + 1x + -1x

Combine like terms: -4x + -1x = -5x
11 + -5x = -7 + 1x + -1x

Combine like terms: 1x + -1x = 0
11 + -5x = -7 + 0
11 + -5x = -7

Add '-11' to each side of the equation.
11 + -11 + -5x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = -7 + -11
-5x = -7 + -11

Combine like terms: -7 + -11 = -18
-5x = -18

Divide each side by '-5'.
x = 3.6

Simplifying
x = 3.6

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