8-(2x-5)=3(x-1)-6

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Solution for 8-(2x-5)=3(x-1)-6 equation:


Simplifying
8 + -1(2x + -5) = 3(x + -1) + -6

Reorder the terms:
8 + -1(-5 + 2x) = 3(x + -1) + -6
8 + (-5 * -1 + 2x * -1) = 3(x + -1) + -6
8 + (5 + -2x) = 3(x + -1) + -6

Combine like terms: 8 + 5 = 13
13 + -2x = 3(x + -1) + -6

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

Reorder the terms:
13 + -2x = -3 + -6 + 3x

Combine like terms: -3 + -6 = -9
13 + -2x = -9 + 3x

Solving
13 + -2x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + -2x + -3x = -9 + 3x + -3x

Combine like terms: -2x + -3x = -5x
13 + -5x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -5x = -9 + 0
13 + -5x = -9

Add '-13' to each side of the equation.
13 + -13 + -5x = -9 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = -9 + -13
-5x = -9 + -13

Combine like terms: -9 + -13 = -22
-5x = -22

Divide each side by '-5'.
x = 4.4

Simplifying
x = 4.4

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