6-x=4(x-3)-7(x-4)

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Solution for 6-x=4(x-3)-7(x-4) equation: 


Simplifying
6 + -1x = 4(x + -3) + -7(x + -4)

Reorder the terms:
6 + -1x = 4(-3 + x) + -7(x + -4)
6 + -1x = (-3 * 4 + x * 4) + -7(x + -4)
6 + -1x = (-12 + 4x) + -7(x + -4)

Reorder the terms:
6 + -1x = -12 + 4x + -7(-4 + x)
6 + -1x = -12 + 4x + (-4 * -7 + x * -7)
6 + -1x = -12 + 4x + (28 + -7x)

Reorder the terms:
6 + -1x = -12 + 28 + 4x + -7x

Combine like terms: -12 + 28 = 16
6 + -1x = 16 + 4x + -7x

Combine like terms: 4x + -7x = -3x
6 + -1x = 16 + -3x

Solving
6 + -1x = 16 + -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.
6 + -1x + 3x = 16 + -3x + 3x

Combine like terms: -1x + 3x = 2x
6 + 2x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 2x = 16 + 0
6 + 2x = 16

Add '-6' to each side of the equation.
6 + -6 + 2x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 16 + -6
2x = 16 + -6

Combine like terms: 16 + -6 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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