-3(11x-3)+4(-5+9x)=x+3x

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Solution for -3(11x-3)+4(-5+9x)=x+3x equation:


Simplifying
-3(11x + -3) + 4(-5 + 9x) = x + 3x

Reorder the terms:
-3(-3 + 11x) + 4(-5 + 9x) = x + 3x
(-3 * -3 + 11x * -3) + 4(-5 + 9x) = x + 3x
(9 + -33x) + 4(-5 + 9x) = x + 3x
9 + -33x + (-5 * 4 + 9x * 4) = x + 3x
9 + -33x + (-20 + 36x) = x + 3x

Reorder the terms:
9 + -20 + -33x + 36x = x + 3x

Combine like terms: 9 + -20 = -11
-11 + -33x + 36x = x + 3x

Combine like terms: -33x + 36x = 3x
-11 + 3x = x + 3x

Combine like terms: x + 3x = 4x
-11 + 3x = 4x

Solving
-11 + 3x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-11 + 3x + -4x = 4x + -4x

Combine like terms: 3x + -4x = -1x
-11 + -1x = 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + -1x = 0

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

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

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

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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