23-4x-5=x-10-7

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Solution for 23-4x-5=x-10-7 equation:


Simplifying
23 + -4x + -5 = x + -10 + -7

Reorder the terms:
23 + -5 + -4x = x + -10 + -7

Combine like terms: 23 + -5 = 18
18 + -4x = x + -10 + -7

Reorder the terms:
18 + -4x = -10 + -7 + x

Combine like terms: -10 + -7 = -17
18 + -4x = -17 + x

Solving
18 + -4x = -17 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
18 + -4x + -1x = -17 + x + -1x

Combine like terms: -4x + -1x = -5x
18 + -5x = -17 + x + -1x

Combine like terms: x + -1x = 0
18 + -5x = -17 + 0
18 + -5x = -17

Add '-18' to each side of the equation.
18 + -18 + -5x = -17 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = -17 + -18
-5x = -17 + -18

Combine like terms: -17 + -18 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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