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

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Solution for 24-(x+7)=6x-4 equation:


Simplifying
24 + -1(x + 7) = 6x + -4

Reorder the terms:
24 + -1(7 + x) = 6x + -4
24 + (7 * -1 + x * -1) = 6x + -4
24 + (-7 + -1x) = 6x + -4

Combine like terms: 24 + -7 = 17
17 + -1x = 6x + -4

Reorder the terms:
17 + -1x = -4 + 6x

Solving
17 + -1x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
17 + -1x + -6x = -4 + 6x + -6x

Combine like terms: -1x + -6x = -7x
17 + -7x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
17 + -7x = -4 + 0
17 + -7x = -4

Add '-17' to each side of the equation.
17 + -17 + -7x = -4 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -4 + -17
-7x = -4 + -17

Combine like terms: -4 + -17 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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