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

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


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

Reorder the terms:
8 + -2x + -1(2 + 3x) = 7 + 4(x + -7)
8 + -2x + (2 * -1 + 3x * -1) = 7 + 4(x + -7)
8 + -2x + (-2 + -3x) = 7 + 4(x + -7)

Reorder the terms:
8 + -2 + -2x + -3x = 7 + 4(x + -7)

Combine like terms: 8 + -2 = 6
6 + -2x + -3x = 7 + 4(x + -7)

Combine like terms: -2x + -3x = -5x
6 + -5x = 7 + 4(x + -7)

Reorder the terms:
6 + -5x = 7 + 4(-7 + x)
6 + -5x = 7 + (-7 * 4 + x * 4)
6 + -5x = 7 + (-28 + 4x)

Combine like terms: 7 + -28 = -21
6 + -5x = -21 + 4x

Solving
6 + -5x = -21 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + -5x + -4x = -21 + 4x + -4x

Combine like terms: -5x + -4x = -9x
6 + -9x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -9x = -21 + 0
6 + -9x = -21

Add '-6' to each side of the equation.
6 + -6 + -9x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -21 + -6
-9x = -21 + -6

Combine like terms: -21 + -6 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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