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

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


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

Remove parenthesis around (2 + -1x)
2 + -1x + -4 = 7 + -3(x + 4)

Reorder the terms:
2 + -4 + -1x = 7 + -3(x + 4)

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

Reorder the terms:
-2 + -1x = 7 + -3(4 + x)
-2 + -1x = 7 + (4 * -3 + x * -3)
-2 + -1x = 7 + (-12 + -3x)

Combine like terms: 7 + -12 = -5
-2 + -1x = -5 + -3x

Solving
-2 + -1x = -5 + -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.
-2 + -1x + 3x = -5 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-2 + 2x = -5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 2x = -5 + 0
-2 + 2x = -5

Add '2' to each side of the equation.
-2 + 2 + 2x = -5 + 2

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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