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

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Solution for 24-(x+7)=4x-3 equation:


Simplifying
24 + -1(x + 7) = 4x + -3

Reorder the terms:
24 + -1(7 + x) = 4x + -3
24 + (7 * -1 + x * -1) = 4x + -3
24 + (-7 + -1x) = 4x + -3

Combine like terms: 24 + -7 = 17
17 + -1x = 4x + -3

Reorder the terms:
17 + -1x = -3 + 4x

Solving
17 + -1x = -3 + 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.
17 + -1x + -4x = -3 + 4x + -4x

Combine like terms: -1x + -4x = -5x
17 + -5x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -5x = -3 + 0
17 + -5x = -3

Add '-17' to each side of the equation.
17 + -17 + -5x = -3 + -17

Combine like terms: 17 + -17 = 0
0 + -5x = -3 + -17
-5x = -3 + -17

Combine like terms: -3 + -17 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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