x-11(13+4x)=-3(5-9x)+2

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Solution for x-11(13+4x)=-3(5-9x)+2 equation:


Simplifying
x + -11(13 + 4x) = -3(5 + -9x) + 2
x + (13 * -11 + 4x * -11) = -3(5 + -9x) + 2
x + (-143 + -44x) = -3(5 + -9x) + 2

Reorder the terms:
-143 + x + -44x = -3(5 + -9x) + 2

Combine like terms: x + -44x = -43x
-143 + -43x = -3(5 + -9x) + 2
-143 + -43x = (5 * -3 + -9x * -3) + 2
-143 + -43x = (-15 + 27x) + 2

Reorder the terms:
-143 + -43x = -15 + 2 + 27x

Combine like terms: -15 + 2 = -13
-143 + -43x = -13 + 27x

Solving
-143 + -43x = -13 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
-143 + -43x + -27x = -13 + 27x + -27x

Combine like terms: -43x + -27x = -70x
-143 + -70x = -13 + 27x + -27x

Combine like terms: 27x + -27x = 0
-143 + -70x = -13 + 0
-143 + -70x = -13

Add '143' to each side of the equation.
-143 + 143 + -70x = -13 + 143

Combine like terms: -143 + 143 = 0
0 + -70x = -13 + 143
-70x = -13 + 143

Combine like terms: -13 + 143 = 130
-70x = 130

Divide each side by '-70'.
x = -1.857142857

Simplifying
x = -1.857142857

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