-13-[3(x+2)+4]=11(6[-2x])

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Solution for -13-[3(x+2)+4]=11(6[-2x]) equation:


Simplifying
-13 + -1[3(x + 2) + 4] = 11(6[-2x])

Reorder the terms:
-13 + -1[3(2 + x) + 4] = 11(6[-2x])
-13 + -1[(2 * 3 + x * 3) + 4] = 11(6[-2x])
-13 + -1[(6 + 3x) + 4] = 11(6[-2x])

Reorder the terms:
-13 + -1[6 + 4 + 3x] = 11(6[-2x])

Combine like terms: 6 + 4 = 10
-13 + -1[10 + 3x] = 11(6[-2x])
-13 + [10 * -1 + 3x * -1] = 11(6[-2x])
-13 + [-10 + -3x] = 11(6[-2x])

Combine like terms: -13 + -10 = -23
-23 + -3x = 11(6[-2x])

Remove brackets around [-2x]
-23 + -3x = 11(6 * -2x)

Multiply 6 * -2
-23 + -3x = 11(-12x)

Remove parenthesis around (-12x)
-23 + -3x = 11 * -12x

Multiply 11 * -12
-23 + -3x = -132x

Solving
-23 + -3x = -132x

Solving for variable 'x'.

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

Add '132x' to each side of the equation.
-23 + -3x + 132x = -132x + 132x

Combine like terms: -3x + 132x = 129x
-23 + 129x = -132x + 132x

Combine like terms: -132x + 132x = 0
-23 + 129x = 0

Add '23' to each side of the equation.
-23 + 23 + 129x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 129x = 0 + 23
129x = 0 + 23

Combine like terms: 0 + 23 = 23
129x = 23

Divide each side by '129'.
x = 0.1782945736

Simplifying
x = 0.1782945736

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