3(x-9)-4(2x+1)=x-31

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Solution for 3(x-9)-4(2x+1)=x-31 equation:


Simplifying
3(x + -9) + -4(2x + 1) = x + -31

Reorder the terms:
3(-9 + x) + -4(2x + 1) = x + -31
(-9 * 3 + x * 3) + -4(2x + 1) = x + -31
(-27 + 3x) + -4(2x + 1) = x + -31

Reorder the terms:
-27 + 3x + -4(1 + 2x) = x + -31
-27 + 3x + (1 * -4 + 2x * -4) = x + -31
-27 + 3x + (-4 + -8x) = x + -31

Reorder the terms:
-27 + -4 + 3x + -8x = x + -31

Combine like terms: -27 + -4 = -31
-31 + 3x + -8x = x + -31

Combine like terms: 3x + -8x = -5x
-31 + -5x = x + -31

Reorder the terms:
-31 + -5x = -31 + x

Add '31' to each side of the equation.
-31 + 31 + -5x = -31 + 31 + x

Combine like terms: -31 + 31 = 0
0 + -5x = -31 + 31 + x
-5x = -31 + 31 + x

Combine like terms: -31 + 31 = 0
-5x = 0 + x
-5x = x

Solving
-5x = 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.
-5x + -1x = x + -1x

Combine like terms: -5x + -1x = -6x
-6x = x + -1x

Combine like terms: x + -1x = 0
-6x = 0

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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