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

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Solution for 6-(x+4)=7(x-2) equation: 


Simplifying
6 + -1(x + 4) = 7(x + -2)

Reorder the terms:
6 + -1(4 + x) = 7(x + -2)
6 + (4 * -1 + x * -1) = 7(x + -2)
6 + (-4 + -1x) = 7(x + -2)

Combine like terms: 6 + -4 = 2
2 + -1x = 7(x + -2)

Reorder the terms:
2 + -1x = 7(-2 + x)
2 + -1x = (-2 * 7 + x * 7)
2 + -1x = (-14 + 7x)

Solving
2 + -1x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + -1x + -7x = -14 + 7x + -7x

Combine like terms: -1x + -7x = -8x
2 + -8x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -8x = -14 + 0
2 + -8x = -14

Add '-2' to each side of the equation.
2 + -2 + -8x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -14 + -2
-8x = -14 + -2

Combine like terms: -14 + -2 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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