11-[2x-(-7)]=-6-4(3x-8)

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Solution for 11-[2x-(-7)]=-6-4(3x-8) equation:


Simplifying
11 + -1[2x + -1(-7)] = -6 + -4(3x + -8)

Multiply -1 * -7
11 + -1[2x + 7] = -6 + -4(3x + -8)

Reorder the terms:
11 + -1[7 + 2x] = -6 + -4(3x + -8)
11 + [7 * -1 + 2x * -1] = -6 + -4(3x + -8)
11 + [-7 + -2x] = -6 + -4(3x + -8)

Combine like terms: 11 + -7 = 4
4 + -2x = -6 + -4(3x + -8)

Reorder the terms:
4 + -2x = -6 + -4(-8 + 3x)
4 + -2x = -6 + (-8 * -4 + 3x * -4)
4 + -2x = -6 + (32 + -12x)

Combine like terms: -6 + 32 = 26
4 + -2x = 26 + -12x

Solving
4 + -2x = 26 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
4 + -2x + 12x = 26 + -12x + 12x

Combine like terms: -2x + 12x = 10x
4 + 10x = 26 + -12x + 12x

Combine like terms: -12x + 12x = 0
4 + 10x = 26 + 0
4 + 10x = 26

Add '-4' to each side of the equation.
4 + -4 + 10x = 26 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 26 + -4
10x = 26 + -4

Combine like terms: 26 + -4 = 22
10x = 22

Divide each side by '10'.
x = 2.2

Simplifying
x = 2.2

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