23=7(x-3)-5x-10

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Solution for 23=7(x-3)-5x-10 equation:


Simplifying
23 = 7(x + -3) + -5x + -10

Reorder the terms:
23 = 7(-3 + x) + -5x + -10
23 = (-3 * 7 + x * 7) + -5x + -10
23 = (-21 + 7x) + -5x + -10

Reorder the terms:
23 = -21 + -10 + 7x + -5x

Combine like terms: -21 + -10 = -31
23 = -31 + 7x + -5x

Combine like terms: 7x + -5x = 2x
23 = -31 + 2x

Solving
23 = -31 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
23 + -2x = -31 + 2x + -2x

Combine like terms: 2x + -2x = 0
23 + -2x = -31 + 0
23 + -2x = -31

Add '-23' to each side of the equation.
23 + -23 + -2x = -31 + -23

Combine like terms: 23 + -23 = 0
0 + -2x = -31 + -23
-2x = -31 + -23

Combine like terms: -31 + -23 = -54
-2x = -54

Divide each side by '-2'.
x = 27

Simplifying
x = 27

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