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

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


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

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

Combine like terms: -1x + -4x = -5x
2 + -5x = 7 + -3(x + 4)

Reorder the terms:
2 + -5x = 7 + -3(4 + x)
2 + -5x = 7 + (4 * -3 + x * -3)
2 + -5x = 7 + (-12 + -3x)

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

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

Combine like terms: -5x + 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 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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