8-(4x-3.4)=5(x+6)-2

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Solution for 8-(4x-3.4)=5(x+6)-2 equation:


Simplifying
8 + -1(4x + -3.4) = 5(x + 6) + -2

Reorder the terms:
8 + -1(-3.4 + 4x) = 5(x + 6) + -2
8 + (-3.4 * -1 + 4x * -1) = 5(x + 6) + -2
8 + (3.4 + -4x) = 5(x + 6) + -2

Combine like terms: 8 + 3.4 = 11.4
11.4 + -4x = 5(x + 6) + -2

Reorder the terms:
11.4 + -4x = 5(6 + x) + -2
11.4 + -4x = (6 * 5 + x * 5) + -2
11.4 + -4x = (30 + 5x) + -2

Reorder the terms:
11.4 + -4x = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
11.4 + -4x = 28 + 5x

Solving
11.4 + -4x = 28 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11.4 + -4x + -5x = 28 + 5x + -5x

Combine like terms: -4x + -5x = -9x
11.4 + -9x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
11.4 + -9x = 28 + 0
11.4 + -9x = 28

Add '-11.4' to each side of the equation.
11.4 + -11.4 + -9x = 28 + -11.4

Combine like terms: 11.4 + -11.4 = 0.0
0.0 + -9x = 28 + -11.4
-9x = 28 + -11.4

Combine like terms: 28 + -11.4 = 16.6
-9x = 16.6

Divide each side by '-9'.
x = -1.844444444

Simplifying
x = -1.844444444

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