3(x-7)-2(x-5)=x-31

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Solution for 3(x-7)-2(x-5)=x-31 equation:


Simplifying
3(x + -7) + -2(x + -5) = x + -31

Reorder the terms:
3(-7 + x) + -2(x + -5) = x + -31
(-7 * 3 + x * 3) + -2(x + -5) = x + -31
(-21 + 3x) + -2(x + -5) = x + -31

Reorder the terms:
-21 + 3x + -2(-5 + x) = x + -31
-21 + 3x + (-5 * -2 + x * -2) = x + -31
-21 + 3x + (10 + -2x) = x + -31

Reorder the terms:
-21 + 10 + 3x + -2x = x + -31

Combine like terms: -21 + 10 = -11
-11 + 3x + -2x = x + -31

Combine like terms: 3x + -2x = 1x
-11 + 1x = x + -31

Reorder the terms:
-11 + 1x = -31 + x

Solving
-11 + 1x = -31 + 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.
-11 + 1x + -1x = -31 + x + -1x

Combine like terms: 1x + -1x = 0
-11 + 0 = -31 + x + -1x
-11 = -31 + x + -1x

Combine like terms: x + -1x = 0
-11 = -31 + 0
-11 = -31

Add '11' to each side of the equation.
-11 + 11 = -31 + 11

Combine like terms: -11 + 11 = 0
0 = -31 + 11

Combine like terms: -31 + 11 = -20
0 = -20

Simplifying
0 = -20

Combine like terms: 0 + 20 = 20
20 = -20 + 20

Combine like terms: -20 + 20 = 0
20 = 0

The solution to this equation could not be determined.

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