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

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


Simplifying
3(7 + -1x) + 5 = x + -10
(7 * 3 + -1x * 3) + 5 = x + -10
(21 + -3x) + 5 = x + -10

Reorder the terms:
21 + 5 + -3x = x + -10

Combine like terms: 21 + 5 = 26
26 + -3x = x + -10

Reorder the terms:
26 + -3x = -10 + x

Solving
26 + -3x = -10 + 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.
26 + -3x + -1x = -10 + x + -1x

Combine like terms: -3x + -1x = -4x
26 + -4x = -10 + x + -1x

Combine like terms: x + -1x = 0
26 + -4x = -10 + 0
26 + -4x = -10

Add '-26' to each side of the equation.
26 + -26 + -4x = -10 + -26

Combine like terms: 26 + -26 = 0
0 + -4x = -10 + -26
-4x = -10 + -26

Combine like terms: -10 + -26 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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