3(x-6)-4(3x+1)=x-22

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Solution for 3(x-6)-4(3x+1)=x-22 equation:


Simplifying
3(x + -6) + -4(3x + 1) = x + -22

Reorder the terms:
3(-6 + x) + -4(3x + 1) = x + -22
(-6 * 3 + x * 3) + -4(3x + 1) = x + -22
(-18 + 3x) + -4(3x + 1) = x + -22

Reorder the terms:
-18 + 3x + -4(1 + 3x) = x + -22
-18 + 3x + (1 * -4 + 3x * -4) = x + -22
-18 + 3x + (-4 + -12x) = x + -22

Reorder the terms:
-18 + -4 + 3x + -12x = x + -22

Combine like terms: -18 + -4 = -22
-22 + 3x + -12x = x + -22

Combine like terms: 3x + -12x = -9x
-22 + -9x = x + -22

Reorder the terms:
-22 + -9x = -22 + x

Add '22' to each side of the equation.
-22 + 22 + -9x = -22 + 22 + x

Combine like terms: -22 + 22 = 0
0 + -9x = -22 + 22 + x
-9x = -22 + 22 + x

Combine like terms: -22 + 22 = 0
-9x = 0 + x
-9x = x

Solving
-9x = 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.
-9x + -1x = x + -1x

Combine like terms: -9x + -1x = -10x
-10x = x + -1x

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

Divide each side by '-10'.
x = 0.0

Simplifying
x = 0.0

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